A pizza box has the shape of a right square prism with base side \(40\text{ cm}\) and height \(3\text{ cm}\). According to the standards, \(10\%\) extra cardboard is needed for fastenings. Determine how many square centimeters of cardboard are needed to make the box with fastenings.
In an aquarium shaped like a rectangular prism of length \(60\text{ cm}\) and width \(40\text{ cm}\), water is filled to a height of \(30\text{ cm}\) from the bottom. Then all this water is poured into another aquarium of the same shape with length \(80\text{ cm}\) and width \(50\text{ cm}\). What will the water level be in the second aquarium?
A bookcase with glass doors in front has the shape of a rectangular prism: height \(2\text{ m}\), depth \(0.5\text{ m}\), width \(1\text{ m}\). How many grams of paint are needed to paint all external surfaces except the glass doors, if \(100\text{ g}\) of paint is needed for \(1\text{ m}^2\)?
A box in the shape of a rectangular prism has length \(30\text{ cm}\), width \(25\text{ cm}\), and height \(10\text{ cm}\). A decorative ribbon is wrapped twice around the box along its length, twice around its width, and a bow is made in the middle of the top lid. How many meters of ribbon are needed if \(25\text{ cm}\) is used for the bow?
From a square cardboard sheet with side \(80\text{ cm}\), a net for an open-top box is cut out (the fastenings are made separately). Squares with side \(20\text{ cm}\) are cut from the corners, and then the box is folded into the shape of a right square prism. Determine the volume of the box in cubic centimeters.