Asmall cube with side length 6y is placed inside a larger cube with side length 4x^2. what is the difference in the volume of the cubes?

Step-by-step explanation:

we know that

The volume of a cube is equal to

where

s is the length side of a cube

Step 1

Find the volume of the smaller cube

we have

substitute the value in the formula

Step 2

Find the volume of the larger cube

we have

substitute the value in the formula

Step 3

Find the difference in the volume of the cubes

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!