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1 The volume of a number cube is \( 27 \mathrm{~cm}^{3} \). . What is the length of each side of the cube? (A) 3 cm (B) 6 cm (C) 9 cm (D) 81 cm

Ask by Dawson Rodriquez. in the United States
Feb 25,2025

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Answer

Each side of the cube is 3 cm long.

Solution

The volume of a cube is given by the formula V = s³, where s is the length of a side. Given that the volume is 27 cm³, we have: s³ = 27 Taking the cube root of both sides gives: s = ∛27 = 3 Therefore, the length of each side of the cube is 3 cm. The correct answer is (A) 3 cm.

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The Deep Dive

To find the length of each side of a cube when given its volume, you can use the formula for the volume of a cube, which is \( V = s^3 \), where \( s \) is the length of a side. So if the volume is \( 27 \, \mathrm{cm}^3 \), you set up the equation \( s^3 = 27 \). Solving for \( s \), you take the cube root of \( 27 \), which is \( 3 \, \mathrm{cm} \). Therefore, the answer is (A) 3 cm. Now, if you're thinking about cubes, did you know that ancient Egyptians used simple wooden or stone cubes for games? These entertaining little blocks were part of their game strategies way back in time! It’s a fascinating glimpse into how geometry and fun have always been intertwined in human history.

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