Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the volume of this square pyramid. 10 cm volume of a pyramid v = (…

Question

find the volume of this square pyramid.
10 cm
volume of a pyramid
v = (1/3)bh
3 cm
v = ? cm³

Explanation:

Step1: Find the base area (B)

The base is a square with side length 3 cm. The area of a square is side squared, so \( B = 3^2 = 9 \) \( cm^2 \).

Step2: Use the pyramid volume formula

The formula for the volume of a pyramid is \( V=\frac{1}{3}Bh \), where \( B = 9 \) \( cm^2 \) and \( h = 10 \) cm. Substitute the values: \( V=\frac{1}{3}\times9\times10 \).
First, calculate \( \frac{1}{3}\times9 = 3 \), then \( 3\times10 = 30 \).

Answer:

30