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Tabitha found the side length of a cube with a volume of 512 cubic centimeters using the following steps. The volume of a cube is given by [tex] V = s^3 [/tex].

1. Substitute the value into the formula: [tex] 512 = s^3 [/tex].
2. Undo the cube: [tex] \sqrt[3]{512} = 8 [/tex].
3. Solution and explanation: [tex] s = 8 \, \text{cm} [/tex] because [tex] 8^3 = 8 \cdot 8 \cdot 8 = 512 [/tex].

Follow Tabitha's steps to find the side length of a cube with a volume of [tex] 27 \, \text{cm}^3 [/tex].

What is the side length? [tex] \square \, \text{cm} [/tex]

Sagot :

GinnyAnswer
To find the side length of a cube with a volume of [tex]\( 27 \)[/tex] cubic centimeters, let's follow the steps mentioned:

1. Substitute the given volume into the formula for the volume of a cube, [tex]\( V = s^3 \)[/tex]:
[tex]\[ 27 = s^3 \][/tex]

2. To find the side length [tex]\( s \)[/tex], we need to solve for [tex]\( s \)[/tex] by taking the cube root of both sides of the equation:
[tex]\[ \sqrt[3]{27} = s \][/tex]

3. Calculate the cube root of 27:
[tex]\[ s = 3 \quad \text{because} \quad 3^3 = 3 \cdot 3 \cdot 3 = 27 \][/tex]

Therefore, the side length of the cube is [tex]\( 3 \)[/tex] cm.
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