Questions: Find the volume of the figure. H=8 ft 3 ft 7 ft The volume of the figure is (Round to the nearest whole number as needed.)

Find the volume of the figure.
H=8 ft
3 ft
7 ft

The volume of the figure is 
(Round to the nearest whole number as needed.)
Transcript text: Find the volume of the figure. $H=8 \mathrm{ft}$ 3 ft 7 ft The volume of the figure is $\square$ (Round to the nearest whole number as needed.)
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Solution

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Solution Steps

To find the volume of the figure, we need to identify the shape and use the appropriate volume formula. Based on the dimensions provided (H=8 ft, 3 ft, and 7 ft), it seems like the figure could be a rectangular prism. The volume of a rectangular prism is calculated by multiplying its length, width, and height.

Solution Approach
  1. Identify the shape of the figure as a rectangular prism.
  2. Use the formula for the volume of a rectangular prism: Volume = length × width × height.
  3. Substitute the given dimensions into the formula to calculate the volume.
  4. Round the result to the nearest whole number as needed.
Step 1: Identify the Shape

The figure is identified as a rectangular prism with the following dimensions:

  • Length (\( l \)) = 7 ft
  • Width (\( w \)) = 3 ft
  • Height (\( h \)) = 8 ft
Step 2: Apply the Volume Formula

The volume (\( V \)) of a rectangular prism is calculated using the formula: \[ V = l \times w \times h \]

Step 3: Substitute the Values

Substituting the given dimensions into the volume formula: \[ V = 7 \, \text{ft} \times 3 \, \text{ft} \times 8 \, \text{ft} \]

Step 4: Calculate the Volume

Calculating the volume: \[ V = 7 \times 3 \times 8 = 168 \, \text{ft}^3 \]

Step 5: Round the Result

The volume is already a whole number, so rounding is not necessary. The final volume is: \[ V = 168 \, \text{ft}^3 \]

Final Answer

\(\boxed{V = 168}\)

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