Question

A prism has a square base with a side length of 4 1 2 4 1 2 feet. The height of the prism is 6 feet. What is the volume of the prism? A. 10 1 2 10 1 2 ft3 B. 27 27 ft3 C. 54 54 ft3 D. 121 1 2 121 1 2 ft3

Answer 1

We have been given that a prism has a square base with a side length of 4 1/2 feet. The height of the prism is 6 feet. We are asked to find the volume of the prism.

We know that volume of prism is base area times height.

$\text{Area of base}=\text{Area of square}=\text{Side length}^2$

$\text{Area of base}=(4\frac{1}{2})^2$

$\text{Area of base}=(\frac{9}{2})^2$

$\text{Area of base}=\frac{9^2}{2^2}$

$\text{Area of base}=\frac{81}{4}$

$\text{Volume of prism}=\frac{81}{4}\times 6$

$\text{Volume of prism}=\frac{81}{2}\times 3$

$\text{Volume of prism}=\frac{243}{2}$

$\text{Volume of prism}=121\frac{1}{2}$

Therefore, the volume of prism is $121\frac{1}{2}\text{ ft}^3$ and option D is the correct choice.