Question

Ren built a birdhouse with a volume of 224 in.3 Find the height of the birdhouse.

Answer 1

64 and 10 1/2

Explanation:

Answer 2

Complete question:

Ren built a birdhouse with a volume of 224 in³ Find the height of the birdhouse. A square pyramid. The square base has side lengths of 8 inches and the height is unknown.

Answer:

the height of the birdhouse is 10.5 in.

Explanation:

Given;

volume of the square pyramid, V = 224 in³

length of a side of the square base, a = 8 in

The volume of square pyramid is calculated as;

`V = (a^2h)/(3) \\\\where;\\h \ is \ height \ of \ the \ birdhouse \ (Pyramid)\\\\a^2h = 3V\\\\h = (3V)/(a^2) \\\\h = (3 * 224)/(8^2) \\\\h = 10.5 \ in`

Therefore, the height of the birdhouse is 10.5 in.