Find a function that models the surface area S of a cube in terms of its volume.

mashingcho9v

mashingcho9v

Answered question

2022-09-03

Find a function that models the surface area S of a cube in terms of its volume.

Answer & Explanation

Willie Smith

Willie Smith

Beginner2022-09-04Added 18 answers

GIVEN
A = 6 s 2
V = s 3
Take the cube root of both sides of the volume equation.
v 3 = s
Then insert cube root of V for s in the area equation.
A = 6 v 3 2
skystasvs

skystasvs

Beginner2022-09-05Added 4 answers

-to find the function use the equation:
A = 6 s 2
- Also use the equation
V = s 3
-solve V = s 3 for s by taking the cubed root of both sides of the equation.
-so, s = V 3
-Now substitute this s into the original area equation.
-This yields
A = 6 ( V 3 ) 2
-So this function models the surface are S of a cube in terms of its volume.

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