Question

find the volume of this square pyramid. volume of a pyramid $v = \frac{1}{3}bh$ $v = ? cm^{3}$

Explanation:

Step1: Calculate the base area \( B \)

The base is a square with side length \( 7\mathrm{cm} \). The area of a square is \( B = s\times s\), so \( B=7\times7 = 49\mathrm{cm}^{2}\).

Step2: Substitute into the volume formula

The formula for the volume of a pyramid is \( V=\frac{1}{3}Bh\). Here, \( B = 49\mathrm{cm}^{2}\) and \( h = 6\mathrm{cm}\). Then \( V=\frac{1}{3}\times49\times6\).
First, calculate \( 49\times6=294\). Then \( V=\frac{294}{3}\).

Answer:

\( 98\mathrm{cm}^{3}\)