Acracker 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 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

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9