Question

A cracker company wants to make a rectangular box to hold their crackers. They want the height of the box to be 10 inches and the width to be 4 inches. Explain how to calculate the length the box needs to be in order for the volume of the box to be 200 cubic inches.

Answer 1

Answer and step-by-step explanation:

The box must be 5 inches long.

The formula for the volume of a rectangular prism (a box) is

V = length*width*height

The volume of 200, the height is 10 and the width is 4. This gives us

200 = length*10(4)

Letting x be the length,

200 = x(10)(4)

200 = 40x

Divide both sides by 40:

200/40 = 40x/40

5 = x

Answer 2

since v=l×w×h and you are given v=200, w=4, and h=10, you can solve for l by making the equation l=v/hw. That means that l=200/40=5. That means that the length needs to be 5 inches long.

I hope that helps. Let me know if anything is unclear.