Find the surface area of a square based pyramid if the edge of the base is 8 inches and the slant height is 20 inches.

Question

asked Apr 10, 2021 5.8k views

1 Answer

BoshWash · Answer 1 · 2021-04-15T06:08:10+0000

Answer:

384 Square Inches

Explanation:

Given a square pyramid with base side edge and slant height

$\text{Surface Area} = A+\frac12 ps, where:\\A=$Area of Base\\p=Perimeter of base\\s=Slant Height$

In the given pyramid:

Therefore:

Area of Base, A =8 X 8 =64 Square Inches

Perimeter of base, p =4 X 8 =32 Inches

$\text{Surface Area} = 64+\frac12 *32*20\\=64+320\\=384$ Square Inches$