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

ANSWER

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

$w = 4 \frac{1}{2} in$

and the height is

$h = 3\frac{1}{2} in$

We substitute the values into the formula to obtain;

$Volume =8 \times 4 \frac{1}{2} \times 3 \frac{1}{2}$

$Volume =8 \times 4.5 \times 3.5$

$Volume =126 {in}^{3}$

Answer 2

Answer:

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