Volume of Prisms Quick Check

5 of 55 of 5 Items
Question
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

0.4375 ft.3
0.4375 ft. cubed

437.5 ft.3
437.5 ft. cubed

43.75 ft.3
43.75 ft. cubed

4.375 ft.3
4.375 ft. cubed

1 answer

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

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

In your case, the dimensions are:

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

Now substitute the values into the formula:

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

Calculating step by step:

  1. Calculate \(5 \times 2.5 = 12.5\)
  2. Next, calculate \(12.5 \times 3.5 = 43.75\)

Therefore, the volume of the prism is:

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

The correct response is:

43.75 ft.³ (or 43.75 ft. cubed)