Question

a refrigerator in the shape of a rectangular prism has a depth of 28 inches, a width of 36 inches, and a height of 66 inches. what is the volume of the refrigerator? \boxed{} in³

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l \) is the length (or depth in this case), \( w \) is the width, and \( h \) is the height. Here, the depth \( l = 28 \) inches, width \( w = 36 \) inches, and height \( h = 66 \) inches.

Step2: Substitute the values into the formula

Substitute \( l = 28 \), \( w = 36 \), and \( h = 66 \) into the formula:

$$ V = 28 \times 36 \times 66 $$

Step3: Calculate the product

First, calculate \( 28 \times 36 \):

$$ 28 \times 36 = 1008 $$

Then, multiply the result by 66:

$$ 1008 \times 66 = 66528 $$

Answer:

\( 66528 \)