Question

Freezer A has interior dimensions of 1 foot by 1 foot by 5 feet and sells for $499,99. Freezer B has interior dimensions of 1.5 feet by 1.5 feet by 4 feet and sells for 849.99. Which freezer is a better buy in terms of dollars per cubic foot ? Explain.

Answer 1

Dimensions of freezer A is 1 foot by 1 foot by 5 foot.

Therefore, the volume of the freezer A is

$\begin{gathered} V_A=1\times1\times5 \\ =5\text{ cubic foot} \end{gathered}$

The prize of freezer A per cubic foot is

$\frac{499.99}{5}=99.998\text{ dollars}$

Dimensions of the freezer B is 1.5 feet by 1.5 feet by 4 feet.

Therefore, the volume of the freezer B is

$\begin{gathered} V_B=1.5\times1.5\times4 \\ =9\text{ cubic f}eet \end{gathered}$

The prize of the freezer B er cubic foot is

$\frac{849.99}{9}=94.44\text{ dollars}$

Since, the price of freezer B per cubic foot is lower than that of the freezer A, therefore, freezer B is a better buy.