Question

Thisssss??????????????

Answer 1

Answer:

Part A = 91.125in²

Part B = 8 boxes

Step-by-step explanation:

Work is underlined

Normal text = explanation

Hey There!

What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.

To find the volume of the supply boxes:

We are told that the supply box is in the shape of a cube.

That being said we can find the volume by using this simple formula

$V=s^3$

where s = side length

The supply box has a side length of 4.5 so we just plug in 4.5 into the formula

$V=4.5^3\\4.5*4.5*4.5=91.125$

So we can conclude that the volume of the supply box is 91.125 square inches.

Now to find the volume of the larger box.

The larger box is in the shape of a rectangular prism.

The volume of a rectangular prism can be found by multiply the width by the length by the height.

The box has the following dimensions:

width = 18 in

height = 4.5 in

length = 9 in

This means that the volume = 9 * 4.5 * 18

9 * 4.5 = 40.5

40.5 * 18 = 729.

so the volume of the larger box is 729 square inches.

Now we want to find how many little boxes can fit inside the larger box.

Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box

so # of supply boxes that can fit inside of the larger box = $\frac{729}{91.125}$

Using a calculator: $\frac{729}{91.125} =8$

Hence, 8 smaller boxes can fit inside of the larger box