Maths4U Original · Short practice

A right square-based pyramid has base side 6 cm, perpendicular height 4 cm and triangular-face slant height 5 cm.

Find its volume in \(\displaystyle \mathrm{cm}^{3}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right square-based pyramid has base side 12 cm, perpendicular height 8 cm and triangular-face slant height 10 cm.

Find its volume in \(\displaystyle \mathrm{cm}^{3}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right square-based pyramid has base side 12 cm, perpendicular height 8 cm and triangular-face slant height 10 cm.

Find the area of one triangular side face in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right square-based pyramid has base side 18 cm, perpendicular height 12 cm and triangular-face slant height 15 cm.

Find the area of one triangular side face in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right square-based pyramid has base side 18 cm, perpendicular height 12 cm and triangular-face slant height 15 cm.

Find its total surface area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right square-based pyramid has base side 24 cm, perpendicular height 16 cm and triangular-face slant height 20 cm.

Find its total surface area in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right square-based pyramid has base side 24 cm, perpendicular height 16 cm and triangular-face slant height 20 cm.

Find the total area of just the four triangular faces in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right square-based pyramid has base side 30 cm, perpendicular height 20 cm and triangular-face slant height 25 cm.

Find the total area of just the four triangular faces in \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A prism has cross-sectional area \(\displaystyle 13 \mathrm{cm}^{2}\) and length 8 cm. A separate cylinder has radius 2 cm and height 9 cm.

Find the prism volume in \(\displaystyle \mathrm{cm}^{3}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A prism has cross-sectional area \(\displaystyle 14 \mathrm{cm}^{2}\) and length 9 cm. A separate cylinder has radius 3 cm and height 10 cm.

Find the prism volume in \(\displaystyle \mathrm{cm}^{3}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A prism has cross-sectional area \(\displaystyle 14 \mathrm{cm}^{2}\) and length 9 cm. A separate cylinder has radius 3 cm and height 10 cm.

Write the cylinder volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A prism has cross-sectional area \(\displaystyle 15 \mathrm{cm}^{2}\) and length 10 cm. A separate cylinder has radius 4 cm and height 11 cm.

Write the cylinder volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A prism has cross-sectional area \(\displaystyle 15 \mathrm{cm}^{2}\) and length 10 cm. A separate cylinder has radius 4 cm and height 11 cm.

Write the cylinder curved surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A prism has cross-sectional area \(\displaystyle 7 \mathrm{cm}^{2}\) and length 4 cm. A separate cylinder has radius 5 cm and height 12 cm.

Write the cylinder curved surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A prism has cross-sectional area \(\displaystyle 7 \mathrm{cm}^{2}\) and length 4 cm. A separate cylinder has radius 5 cm and height 12 cm.

Write the closed cylinder total surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A prism has cross-sectional area \(\displaystyle 8 \mathrm{cm}^{2}\) and length 5 cm. A separate cylinder has radius 6 cm and height 5 cm.

Write the closed cylinder total surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right cone has radius 6 cm and perpendicular height 8 cm. Separately, a sphere has radius 7 cm.

Find the cone slant height in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right cone has radius 9 cm and perpendicular height 12 cm. Separately, a sphere has radius 8 cm.

Find the cone slant height in cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right cone has radius 9 cm and perpendicular height 12 cm. Separately, a sphere has radius 8 cm.

Write the cone volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right cone has radius 12 cm and perpendicular height 16 cm. Separately, a sphere has radius 2 cm.

Write the cone volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right cone has radius 12 cm and perpendicular height 16 cm. Separately, a sphere has radius 2 cm.

Write the cone total surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right cone has radius 15 cm and perpendicular height 20 cm. Separately, a sphere has radius 3 cm.

Write the cone total surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right cone has radius 15 cm and perpendicular height 20 cm. Separately, a sphere has radius 3 cm.

Write the sphere volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A right cone has radius 18 cm and perpendicular height 24 cm. Separately, a sphere has radius 4 cm.

Write the sphere volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A solid consists of a cylinder of radius 4 cm and height 10 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.

Write the hemisphere volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A solid consists of a cylinder of radius 5 cm and height 11 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.

Write the hemisphere volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A solid consists of a cylinder of radius 5 cm and height 11 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.

Write the whole solid volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A solid consists of a cylinder of radius 6 cm and height 4 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.

Write the whole solid volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A solid consists of a cylinder of radius 6 cm and height 4 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.

Write its exposed surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A solid consists of a cylinder of radius 7 cm and height 5 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.

Write its exposed surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A solid consists of a cylinder of radius 7 cm and height 5 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.

Write the hemisphere curved area alone as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A solid consists of a cylinder of radius 2 cm and height 6 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.

Write the hemisphere curved area alone as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.