Question

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?

s > 0
s 4
s 8
s 16

Answer 1

Answer:

$s\geq 4\ cm$

Step-by-step explanation:

we know that

$s(V)=\sqrt[3]{V}$

where

s is the side length, in units, of a cube

V is the volume of a cube in cubic units

For a $V=64\ cm^{3}$

substitute in the formula

$s=\sqrt[3]{64}$

$s=4\ cms$

If Jason wants to build a cube with a minimum of 64 cubic centimeters

therefore

the minimum length side of the cube is 4 cm

$s\geq 4\ cm$