A storage company advertises two different choices for all your storage needs: "The Cube," a true cube with a volume of 64 m3 and "The Half" (half the volume of "The Cube"). What could be the dimensions of the two storage units?

Part 1) The dimensions of the  storage " The Cube" are

Part 2) The dimensions of the the storage " The Half" could be

Step-by-step explanation:

we know that

The volume of the cube is given by the formula

where

b is the length side of the cube

step 1

Find the dimensions of the storage " The Cube"

we have

substitute in the formula of volume

solve for b

therefore

The dimensions of the the storage " The Cube" are 4 m x 4 m x 4 m

step 2

Find the dimensions of the storage " The Half"

we have

----> the volume is the half

Assume the shape of the storage " The Half" as a rectangular prism

The volume is equal to

where

B is the area of the base

h is the height of the storage

assume

substitute in the formula of volume

If the base is a square the dimesnions of the base could be 4 m x 4 m

therefore

The dimensions of the the storage " The Half" could be

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5