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Illustrative Math
Grade 8
Let’s explore the relationship between volume and edge lengths of cubes.
Illustrative Math Unit 8.8, Lesson 12 (printable worksheets)
The following diagram explore the relationship between volume and edge lengths of cubes.
Let a, b, c, d, e, and f be positive numbers.
Given these equations, arrange a, b, c, d, e, and f from least to greatest. Explain your reasoning.
Fill in the missing values using the information provided:
A cube has a volume of 8 cubic centimeters. A square has the same value for its area as the value for the surface area of the cube. How long is each side of the square?
A cube that has a volume of 8 cubic centimeters would have an edge length of 2 cm.
Surface area of the cube = 2 · 2 · 6 = 24 square cm.
The side of the square would be √24 = 2√6 cm.
Your teacher will give your group a set of cards. For each card with a letter and value, find the two other cards that match. One shows the location on a number line where the value exists, and the other shows an equation that the value satisfies. Be prepared to explain your reasoning.
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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