Calculate the volume of a rectangular prism with a length of 24 ft, width of 6.5 ft, and height of 12 ft.
Understand the Problem
The question is related to calculating the volume of a rectangular prism using its dimensions. The dimensions provided are length, width, and height, which can be used to find the volume formula V = length × width × height.
Answer
The volume of the rectangular prism is \( 1872 \, \text{ft}^3 \).
Answer for screen readers
The volume of the rectangular prism is ( V = 1872 , \text{ft}^3 ).
Steps to Solve
- Identify the dimensions of the rectangular prism The dimensions provided are:
- Length = 24 ft
- Width = 6.5 ft
- Height = 12 ft
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Use the volume formula To find the volume of the rectangular prism, use the formula: $$ V = \text{length} \times \text{width} \times \text{height} $$
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Substitute the dimensions into the formula Insert the values into the volume formula: $$ V = 24 , \text{ft} \times 6.5 , \text{ft} \times 12 , \text{ft} $$
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Calculate the volume First, calculate the product of 24 ft and 6.5 ft: $$ 24 \times 6.5 = 156 , \text{ft}^2 $$
Then multiply by the height: $$ V = 156 , \text{ft}^2 \times 12 , \text{ft} = 1872 , \text{ft}^3 $$
The volume of the rectangular prism is ( V = 1872 , \text{ft}^3 ).
More Information
The volume of a rectangular prism can be thought of as the amount of space inside the prism. Understanding how to calculate volume is useful in various real-world applications such as construction and manufacturing.
Tips
- Failing to multiply all three dimensions together.
- Misinterpreting the dimensions by mixing up length, width, and height.
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