find the volume of the square pyramid.\nthe volume of the pyramid is cubic in.\n(type an integer or a…

find the volume of the square pyramid.\nthe volume of the pyramid is cubic in.\n(type an integer or a decimal. round to the nearest tenth as needed.)

Answer

The volume formula for a square - pyramid is $V=\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

The base is a square with side length $s = 7$ in. The area of the base $B=s^{2}=7^{2}=49$ in².

The height $h = 8$ in. Substitute $B = 49$ in² and $h = 8$ in into the volume formula: $V=\frac{1}{3}\times49\times8=\frac{392}{3}\approx130.7$ in³.

$130.7$