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

D.

EXPLANATION

The formula for calculating the volume of a rectangular prism is

The given rectangular prism has

length,

The width is

and the height is

We substitute the values into the formula to obtain;

The correct answer is option D.  126 in³

Step-by-step 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