Question

The function s(v)=3√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?

a. s > 0
b. s >_4
c. s >_ 8
d. s>_ 16

Answer 1

s(v)=∛v
if v = 64 then
s(v) ∛64 = 4

answer
b. s >= 4

Answer 2

Explanation:

alright lets get started.

The side of cube is given by the function

`s(v)=\sqrt[3]{v}`

If, Jason wants to build a cube with the minimum volume 64 cubic centimeters.

Plugging the value of volume in above function

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

Taking the cubic root of 64

`s=4` :

So, side s should be atleast or more than 4 to have the volume as 64,

`s\geq4` : answer option b

Hope it will help. :)