A box has a length of 24 centimeters, a width of 11 centimeters, and a height of 15 centimeters. Find its volume. Show your work.
Understand the Problem
The question is asking to calculate the volume of a box given its length, width, and height. We will use the formula for the volume of a rectangular prism, which is Volume = length × width × height.
Answer
The volume of the box is $3960 \, \text{cm}^3$.
Answer for screen readers
The volume of the box is $3960 , \text{cm}^3$.
Steps to Solve
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Identify Dimensions First, identify the dimensions of the box. The length is given as 24 centimeters, the width is 11 centimeters, and the height is 15 centimeters.
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Write the Volume Formula Use the formula for the volume of a rectangular prism, which is: $$ \text{Volume} = \text{length} \times \text{width} \times \text{height} $$
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Substitute the Values Now substitute the values into the formula: $$ \text{Volume} = 24 , \text{cm} \times 11 , \text{cm} \times 15 , \text{cm} $$
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Calculate the Volume Perform the multiplication step-by-step: First, calculate $24 , \text{cm} \times 11 , \text{cm}$: $$ 24 \times 11 = 264 , \text{cm}^2 $$ Now multiply this result by the height: $$ 264 , \text{cm}^2 \times 15 , \text{cm} = 3960 , \text{cm}^3 $$
The volume of the box is $3960 , \text{cm}^3$.
More Information
The volume calculated represents the amount of space inside the box. For rectangular prisms, this formula can be applied universally for any set of dimensions to find the volume.
Tips
- Forgetting to multiply all three dimensions.
- Mixing up units (e.g., adding different units) instead of keeping everything in centimeters.
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