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(1)/(2))^2`

`\text{Area of base}=((9)/(2))^2`

`\text{Area of base}=(9^2)/(2^2)`

`\text{Area of base}=(81)/(4)`

`\text{Volume of prism}=(81)/(4)* 6`

`\text{Volume of prism}=(81)/(2)* 3`

`\text{Volume of prism}=(243)/(2)`

`\text{Volume of prism}=121(1)/(2)`

Therefore, the volume of prism is
`121(1)/(2)\text{ ft}^3` and option D is the correct choice.