Question

The length of the base of a rectangular prism is 8 inches. The width of the prism is 4 1 2 inches, and the height is 3 1 2 inches. What is the volume of the prism? A) 84 in3 B) 92 1 2 in3 C) 104 in3 D) 126 in3

Answer 1

The correct answer is option D. 126 in³

Explanation:

Formula:-

Volume of cuboid - lbh

l - Length of cuboid

b - Breadth of cuboid

h - Height of cuboid

To find the volume of prism

Here rectangular prism is like a cuboid.

l = 8 in, b = 4 1/2 = 9/2 and h = 3 1/2 = 7/2

Volume = lbh

= 8 * 9/2 * 7/2 = 126 in³

Therefore the correct answer is option D. 126 in³

Answer 2

D.
`126 {in}^(3)`

EXPLANATION

The formula for calculating the volume of a rectangular prism is

`Volume =lbh`

The given rectangular prism has

length,

`l = 8 \: in`

The width is

`w = 4 (1)/(2) in`

and the height is

`h = 3(1)/(2) in`

We substitute the values into the formula to obtain;

`Volume =8 * 4 (1)/(2) * 3 (1)/(2)`

`Volume =8 * 4.5 * 3.5`

`Volume =126 {in}^(3)`