Question

The pyramid shown has a square base that is 24

24
centimeters on each side. The slant height is 16
16
centimeters. What is the lateral surface area?

Answer 1

`768\ cm^(2)`

Explanation:

Here is the correct question: The pyramid shown has a square base that is 24 centimeters on each side. The slant height is 16 centimeters. What is the lateral surface area?

Given: Side of sqaure base = 24 cm

Slant height= 16 cm

Now, we have to compute to know lateral surface area of Pyramid with square base.

Formula, lateral surface area of pyramid=
`4((1)/(2) * b* h)`

we know, side of sqaure base (b) is 24 cm and slant height (h) is 16 cm.

lateral surface area of pyramid=
`4* ((1)/(2) * 24* 16)`

⇒lateral surface area of pyramid=
`4* (192)`

Opening parenthesis.

∴lateral surface area of pyramid=
`768\ cm^(2)`