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A shipping box has to have specific dimensions to hold an item. The volume must be 7500 cubic inches. The length must be 5 times the width and the height must be 5 inches more than the width. Give the dimensions of the box below. Give your answers as whole numbers or decimals rounded to 1 decimal place.

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abidemiokin

The dimension of the box is 50in by 10in by 15in

How to calculate the volume of a figure

The volume of an object is the quantity of substance it contains.

The formula for calculating the volume of the box is expressed as:

V = lwh

where:

  • l is the length
  • w is the width
  • h is the height

Given the following parameters

length = 5w
height = w + 5

Substiute

7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0

Factorize to determine the width

On factorizing, the width of the box is 10 inches

Recall that:

l = 5w
l = 5(10)

l = 50inches

Get the height

h = w + 5
h = 10 + 5
h = 15inches

Hence the dimension of the box is 50in by 10in by 15in

Learn more on volume of box here: https://brainly.com/question/14957364

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