A vessel (without lid) in the shape of a square pyramid, made from a metallic sheet is of base perimeter 80 centimetres and slant height 26 centimetres. a How many square centimetres of the metailic sheet was needed to make the vessel? b Calculate the height of the vessel. c What is the capacity of the vessel in litres?

Explanation

To find the area of the metallic sheet, we need to find the area of the base and add it to the area of the four triangular faces. The base is a square with a perimeter of 80 cm, so each side is 80/4 = 20 cm. The area of the base is 20^2 = 400 square cm. The slant height is 26 cm, and the base is 20 cm, so the area of each triangular face is 0.5 * 20 * 26 = 260 square cm. Since there are four triangular faces, the total area of the triangular faces is 4 * 260 = 1040 square cm. Therefore, the total area of the metallic sheet is 400 + 1040 = 1440 square cm.

Explanation

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