Understanding Volume of a Prism
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Beginner
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Beginner Explanation
A prism is a solid three-dimensional shape with two parallel, identical bases and flat faces connecting them. To find its volume, first calculate the area of the base (B). Then multiply by the height (h) of the prism. The formula is $V = B \times h$. For example, if a rectangular base has length 5 cm and width 3 cm, then $B = 5 \times 3 = 15\ cm^2$; if the height is 4 cm, then $V = 15 \times 4 = 60\ cm^3$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the volume of a prism with a base area of $20\ cm^2$ and a height of $10\ cm$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
Imagine you have a box with a base area of $30\ cm^2$ and height $15\ cm$. How much space does it occupy?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
If the base area of a prism is doubled, how does that affect the volume?
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4
Challenge Quiz
Single Choice Quiz
Advanced
A prism has a triangular base with area $35\ cm^2$ and a height of $12\ cm$. What is the volume?
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