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

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%