Use the image to answer the question.

An illustration shows a right rectangular prism with the top, front, and right faces visible. The length measures 1.5 meters, the width measures 0.7 meters, and the perpendicular height measures 4 meters. The edges that are not visible are indicated by dashed lines.

Use the formula for the volume of a right rectangular prism to find the volume of the figure. Write your answer in decimal form.

(1 point)
__m3

1 answer

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

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

Given the measurements:

  • Length = 1.5 meters
  • Width = 0.7 meters
  • Height = 4 meters

Substituting these values into the formula:

\[ \text{Volume} = 1.5 , \text{m} \times 0.7 , \text{m} \times 4 , \text{m} \]

Calculating step by step:

  1. Multiply the length and the width: \[ 1.5 \times 0.7 = 1.05 \]

  2. Now multiply that result by the height: \[ 1.05 \times 4 = 4.2 \]

Thus, the volume of the rectangular prism is:

\[ \text{Volume} = 4.2 , \text{m}^3 \]

So, the final answer is:

4.2 m³