Respuesta :
The question is incomplete. Here is the complete question:
A pyramid's with a square base has a height is 8 cm. A side of its square base is 4 1/2 cm. What is the volume of the square pyramid?
Answer:
The volume of the square pyramid is 54 cm³.
Step-by-step explanation:
Given:
Height of the pyramid (h) = 8 cm
Base side (a) = [tex]4\frac{1}{2}=4.5[/tex] cm
We know that, a square pyramid has a square base with all the sides of the base equal to each other.
The volume (V) of the square pyramid is given as:
[tex]V=\frac{1}{3}a^2h[/tex]
Plug in 8 for 'h', 4.5 for 'a' and solve for 'V'. This gives,
[tex]V=\frac{1}{3}\times (4.5)^2\times 8\\\\V=\frac{1}{3}\times 20.25\times 8\\\\V=\frac{1}{3}\times 162\\\\V=\frac{162}{3}\\\\V=54\ cm^3[/tex]
Therefore, the volume of the square pyramid is 54 cm³.
