Question

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

Answer 1

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.

Step-by-step 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;

$V = \frac{a^2h}{3} \\\\where;\\h \ is \ height \ of \ the \ birdhouse \ (Pyramid)\\\\a^2h = 3V\\\\h = \frac{3V}{a^2} \\\\h = \frac{3 \times 224}{8^2} \\\\h = 10.5 \ in$

Therefore, the height of the birdhouse is 10.5 in.

Answer 2

Answer:

64 and 10 1/2

Step-by-step explanation: