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Learn to calculate the volume of boxes and rectangular shapes
Learn step-by-step with practice exercises built right in.
Volume is the amount of space inside a 3-dimensional object.
It's measured in cubic units (like cm³, m³, in³, ft³).
A rectangular prism is a 3D shape with 6 rectangular faces (like a box).
where:
Find the volume of a cube with side length 4 cm.
Solution:
Use the formula:
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You can also think of it as:
A cube is a special rectangular prism where all sides are equal:
where = side length
Answer: 64 cm³
A box has dimensions 6 inches long, 4 inches wide, and 5 inches tall. What is its volume?
Solution:
Use the formula:
Answer: 120 cubic inches (or 120 in³)
An aquarium is 30 inches long, 12 inches wide, and 18 inches tall. If it is filled to 2 inches below the top, what is the volume of water?
Solution:
Water height: inches
Volume of water:
Answer: 5,760 in³ of water