Use the image to answer the question.

An illustration shows a right rectangular prism with the top, front, and left faces visible. The length measures 5 feet, the width measures 2.5 feet, and the perpendicular height measures 3.5 feet. The edges that are not visible are indicated by dashed lines.

Use the formula for finding the volume of a right rectangular prism to calculate the volume of the figure.

(1 point)
Responses

437.5 ft.3
437.5 ft. cubed

43.75 ft.3
43.75 ft. cubed

0.4375 ft.3
0.4375 ft. cubed

4.375 ft.3
4.375 ft. cubed
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1 answer

To calculate the volume of a right rectangular prism, you can use the formula:

\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]

In this case:

  • Length = 5 feet
  • Width = 2.5 feet
  • Height = 3.5 feet

Now, substituting these values into the formula:

\[ \text{Volume} = 5 , \text{ft} \times 2.5 , \text{ft} \times 3.5 , \text{ft} \]

Calculating step by step:

  1. First, calculate the area of the base (length × width):

\[ 5 , \text{ft} \times 2.5 , \text{ft} = 12.5 , \text{ft}^2 \]

  1. Next, multiply the area of the base by the height:

\[ 12.5 , \text{ft}^2 \times 3.5 , \text{ft} = 43.75 , \text{ft}^3 \]

Thus, the volume of the right rectangular prism is

\[ 43.75 , \text{ft}^3 \]

So the correct response is:

43.75 ft.³ or 43.75 ft. cubed.