Question

The volume of a number cube is 27 cm^3. What is the length of each side of a cube?

Answer 1

Answer:

54

Step-by-step explanation:

Since it's a "cube", all sides must be equal. Therefore, the length of one side is equal to the cube root of the volume.

3√27=3

An area of one surface is equal to

3²=9

Since the area of all surfaces are equal, we can assume that the surface area of this cube is

9⋅6

, because there are 6 surfaces on a cube

9⋅6=54

Hope this helps.

Answer 2

Answer:

Side = 3 cm

Step-by-step explanation:

Given:

$\text{Volume of cube} = 27 \ \text{cm}^{3}$

The formula to calculate the volume is (Side)³.

Thus, we obtained the following equation:

$(\text{Side})^{3} = 27 \text{cm}^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Side}^{3} = \text{Volume of cube}]$

Cube root both sides to obtain the side length of the cube:

$\implies \sqrt[3]{\text{(Side)}^{3}} = \sqrt[3]{27 \ \text{cm}^{3} }$

Evaluate the side of the cube:

$\implies \sqrt[3]{\text{(Side)}^{3}} = \sqrt[3]{27 \ \text{cm}^{3} }$

$\implies \sqrt[3]{\text{(Side)}\text{(Side)(Side})} = \sqrt[3]{3 \times 3 \times 3 \times \text{(cm)(cm)(cm)}}$

$\implies \text{Side = 3 cm}$