Question

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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
Remaining Attempts : 3
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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 dimensions of the prism:

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

Now plug in the values:

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

Calculating step-by-step:

  1. First calculate the area of the base (Length × Width): \[ 1.5 \times 0.7 = 1.05 , \text{m}^2 \]

  2. Now multiply this area by the height to find the volume: \[ 1.05 , \text{m}^2 \times 4 , \text{m} = 4.2 , \text{m}^3 \]

Therefore, the volume of the right rectangular prism is:

\[ \boxed{4.2} , \text{m}^3 \]