What is the volume, in cubic meters, of a rectangular prism with a height of 3m, a width of 8m, and a length of 16m?
Understand the Problem
The question asks to calculate the volume of a rectangular prism given its height, width, and length. The volume of a rectangular prism is calculated by multiplying these three dimensions together.
Answer
$384 \text{ m}^3$
Answer for screen readers
$384 \text{ m}^3$
Steps to Solve
- Identify given values
The problem states:
height = $3$ m
width = $8$ m
length = $16$ m
- Write out the formula for calculating the volume of a rectangular prism
The volume of a rectangular prism is given by the formula:
$$V = \text{height} \times \text{width} \times \text{length}$$
- Substitute the values into the formula
Substitute the given values into the formula:
$$V = 3 \times 8 \times 16$$
- Calculate the volume
$$V = 24 \times 16 = 384$$
The volume is $384$ cubic meters.
$384 \text{ m}^3$
More Information
The volume is measured in cubic meters since we are multiplying three lengths together. A cubic meter is the amount of space contained within a cube that has sides which are one meter long.
Tips
A common mistake is to add the dimensions instead of multiplying them. Remember that volume is a three-dimensional measure, so you need to multiply the three dimensions. Also, ensure you include the correct units (cubic meters in this case).
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