QuestionAugust 26, 2025

10. The volume of Cube A is 125 cubic inches. The face of Cube B has an area of 36 square inches. Which cube has a greater side length?

10. The volume of Cube A is 125 cubic inches. The face of Cube B has an area of 36 square inches. Which cube has a greater side length?
10. The volume of Cube A is 125 cubic inches. The
face of Cube B has an area of 36 square inches.
Which cube has a greater side length?

Solution
4.4(237 votes)

Answer

Cube B has a greater side length. Explanation 1. Calculate side length of Cube A Volume of Cube A is 125 \, \text{in}^3. Side length s_A = \sqrt[3]{125}. 2. Calculate side length of Cube B Face area of Cube B is 36 \, \text{in}^2. Side length s_B = \sqrt{36}. 3. Compare side lengths Compare s_A and s_B.

Explanation

1. Calculate side length of Cube A<br /> Volume of Cube A is $125 \, \text{in}^3$. Side length $s_A = \sqrt[3]{125}$.<br />2. Calculate side length of Cube B<br /> Face area of Cube B is $36 \, \text{in}^2$. Side length $s_B = \sqrt{36}$.<br />3. Compare side lengths<br /> Compare $s_A$ and $s_B$.
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