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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

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kudzordzifrancis

ANSWER

D. [tex]126 {in}^{3} [/tex]

EXPLANATION

The formula for calculating the volume of a rectangular prism is

[tex]Volume =lbh[/tex]

The given rectangular prism has

length,

[tex]l = 8 \: in[/tex]

The width is

[tex]w = 4 \frac{1}{2} in[/tex]

and the height is

[tex]h = 3\frac{1}{2} in[/tex]

We substitute the values into the formula to obtain;

[tex]Volume =8 \times 4 \frac{1}{2} \times 3 \frac{1}{2} [/tex]

[tex]Volume =8 \times 4.5 \times 3.5[/tex]

[tex]Volume =126 {in}^{3} [/tex]

imlittlestar

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