The function s (V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.

What is a reasonable range for s, the side length, in centimeters, of Jason's cube?

Question

Belinda Rosales

Mathematics

1 January, 03:07

The function s (V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.

What is a reasonable range for s, the side length, in centimeters, of Jason's cube?

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Answers (1)

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Emelia Burgess · Answer 1

The function for the volume of the cube is

s (V) = V³

The minimum volume of the cube is

s (V) ≥ 64 cm³

V³ ≥ 64

V ≥ ∛64

V ≥ 4

The range of the value is from 4 to positive infinity.

The function s (V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.What is a reasonable range for s, the side length, in centimeters, of Jason's cube?

The function s (V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.

What is a reasonable range for s, the side length, in centimeters, of Jason's cube?