Question

As shown in the diagram below, a regular pyramid has a square base whose side measures 6 inches. If the altitude of the pyramid measures 10 inches, its volume, in cubic inches, is

Answer 1

Volume of the regular pyramid is 120 cubic inches.

Explanation:

Volume of the pyramid =
`(1)/(3)(\text{Area of the square base})* (\text{Height})`

Area of the square base = a² [a = side of the square base]

= (6)²

= 36 square inches

By substituting the vales of area and height in the given formula,

Volume =
`(1)/(3)(36)(10)`

= 12×10

= 120 cubic inches

Therefore, volume of the regular pyramid is 120 cubic inches.