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 th

Question

3 years ago

8

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 th

e 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.

Mathematics

2 answers:

Fed [463] · Answer 1 · 2022-05-25T10:12:03+03:00

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

Nookie1986 [14] · Answer 2 · 2022-05-25T09:05:52+03:00

Nookie1986 [14]3 years ago

5 0

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.