Q:

You were interested in buying a gift that is shaped like a cube for your friend you have two different sizes to choose from one has a side length of 1.9ft and the other is 1.6ft in length you only have 36 square yd of wrapping paper. Is there enough wrapping paper for box 1, box 2 and both boxes

Accepted Solution

A:
Answer:Is there enough wrapping paper for both boxesStep-by-step explanation:we know thatThe surface area of a cube is equal to[tex]SA=6b^{2}[/tex]whereb is the side length of the cubestep 1Find the surface area of box 1we have[tex]b=1.9\ ft[/tex]substitute in the formula[tex]SA=6(1.9)^{2}[/tex][tex]SA=21.66\ ft^{2}[/tex]step 2Find the surface area of box 2we have[tex]b=1.6\ ft[/tex]substitute in the formula[tex]SA=6(1.6)^{2}[/tex][tex]SA=15.36\ ft^{2}[/tex]step 3we have  36 square yd of wrapping paperConvert square yards yo square feet Remember that1 yd=3 ft[tex]36\ yd^2=36(3^2)=324\ ft^2[/tex]Adds surface area box 1 plus surface area box 2[tex]21.66+15.36=37.02\ ft^{2}[/tex][tex]37.02\ ft^{2} < 324\ ft^2[/tex]thereforeIs there enough wrapping paper for both boxes