Question

The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6. What is the Volume and SA

Answer 1

Explanation:

The volume is
`(1)/(3) BAh\\`

where BA is the base area of the pyramid and h the slant height

BA for square pyramid = 5*9 = 45

Volume =
`(1)/(3) * 45 * 6 = 90`

`\ SA = BA + 2 *(1)/(2) * 5*6 + 2 *(1)/(2) * 9 * 6`

SA = 45 + 30 + 54 = 124