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;
[tex]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[/tex]
Therefore, the height of the birdhouse is 10.5 in.
