Question

A child's toy is in the shape of a square pyramid. The pyramid stands 18 inches tall and each side of the base measures 24 inches.

Half of the surface area of the pyramid is black and the remainder is yellow.

What is the surface area of the toy that is yellow?

Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

519.2 in²

Explanation:

First find the slant height (s) of the triangle that makes up 1 side of the pyramid:

s² = 18² + (24/2)² = 468

s= √468 = 21.63

Now find the area of one side of the pyramid:

A = 1/2bh = 1/2(24)(21.63) = 519.2 / 2 = 259.56

Total area (all 4 sides) of the pyramid = 4(259.56) = 1038.2

1/2 the surface area is yellow:

1038.2 / 2 = 519.2 in²