Question

The formula for the volume of a cube is V=s³, where s is the length of an edge of the cube. What is the length of an edge of a cube with a volume of 20 cm³? Round your answer to the nearest tenth.

a) 2.7 cm
b) 3.2 cm
c) 2.8 cm
d) 1.6 cm

Answer 1

To find the length of an edge of a cube when given its volume, calculate the cubic root of the volume. For a volume of 20 cm³, the edge length is approximately 2.7 cm after rounding to the nearest tenth.

Step-by-step explanation:

The volume of a cube can be found using the formula V = s³, where V represents the volume and s is the length of an edge of the cube. To find the edge length of a cube when we have the volume, we can take the cubic root of the volume. For a cube with a volume of 20 cm³, the calculation would be s = ∛(20 cm³).

The cubic root of 20 is approximately 2.7144 cm, which rounds to 2.7 cm to the nearest tenth. Therefore, the correct length of an edge for a cube with a volume of 20 cm³, rounded to the nearest tenth, is 2.7 cm (Option a).