Let’s explore the relationship between volume and edge lengths of cubes.
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.
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