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

Respuesta :

Answer:

[tex]s\geq 4\ cm[/tex]

Step-by-step explanation:

we know that

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

where

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

V is the volume of a cube in cubic units

For a [tex]V=64\ cm^{3}[/tex]

substitute in the formula

[tex]s=\sqrt[3]{64}[/tex]

[tex]s=4\ cms[/tex]

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

[tex]s\geq 4\ cm[/tex]