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Overview
7th Grade Math
22. MA.7.GR.2.3
22.2 Word problems relating volume of prisms and cylinders
Word Problems: Prisms and Cylinders
Solve prism and cylinder volume word problems by identifying the shape and applying the matching formula.
What You'll Learn
Identify whether the shape is a prism or a cylinder before choosing a formula.
Use volume = base area times height for a prism.
Use volume = pi times radius squared times height for a cylinder.
A tank with radius 2 m and height 5 m holds about 62.8 cubic meters.
Compare volumes directly once both are calculated in the same cubic units.
What You'll Practice
1
Finding cube dimensions from a reshaped cylinder with equal volume
2
Calculating concrete needed by subtracting cylinder volume from prism volume
3
Determining cylinder volume that fits perfectly inside a cube
4
Solving for unknown measurements using volume equations
Why This Matters
These word problems prepare you for real-world applications like calculating material needs for construction, determining container capacities, and solving engineering design problems. Mastering volume relationships between different shapes is essential for physics, chemistry, and any field involving spatial reasoning.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Learning resources
Skills
Volume of Cylinders
Volume of Prisms
Word Problems
Composite Volumes
Cube Roots
Problem Solving
Geometric Reasoning
FL Curriculum Aligned