A rectangular prism has a volume of 880 cm³:
Its height is 10 cm and its length is 8 cm.
What is its width?
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A rectangular prism has a volume of 880 cm³:
Its height is 10 cm and its length is 8 cm.
What is its width?
To find the width of the rectangular prism, we'll start by using the formula for the volume of a rectangular prism:
We are given that the volume , the length , and the height . We need to find the width, which we'll denote as .
Substitute the known values into the formula:
Simplify the equation:
To solve for , divide both sides of the equation by 80:
Simplify the fraction:
Therefore, the width of the rectangular prism is .
11
Look at the cuboid below:
What is the volume of the cuboid?
Volume measures space inside a 3D shape. When you stack unit cubes, you multiply: 8 rows × 11 columns × 10 layers = 880 total cubes. Adding would only give you the sum of the edges!
Think of stacking unit cubes! Imagine filling the box with 1 cm × 1 cm × 1 cm cubes. Count how many fit in each direction, then multiply those numbers together.
Use inverse operations! Since volume = l × w × h, then width = volume ÷ (length × height). Divide the volume by the product of the known dimensions.
For volume problems, use cubic units like cm³, m³, or in³. For missing dimensions like width, use linear units like cm, m, or inches (no exponent).
Yes! You can substitute the known values in any order: or . The final answer will be the same.
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