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Illustrative Math
Grade 6
Let’s look at the volume of prisms that have fractional measurements.
Illustrative Math Unit 6.4, Lesson 15 (printable worksheets)
The following diagram shows how to use division and multiplication to solve find the volumes of rectangular prisms with fractional bases and heights.
Scroll down the page for the answer to the “Are you ready for more?” section.
1/2 · 2/3 = 1/3
1/2 · 2/3 · 3/4 = 1/4
Since we are progressively multiplying by a fraction that is less than 1, the value will get smaller each time and will get closer and closer to 0.
1/1 · 2/1 = 2
1/1 · 2/1 · 1/3 = 2/3
The value will get bigger or smaller each time depending on whether the next number to multiply is greater or less than 1.
cups of flour | cups of water |
1 | ½ |
4 | |
3 | |
½ |
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.
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