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A rectangular box is 10 inches wide, 8 inches long and 6 inches deep. What is its
volume in cubic inches and cubic centimeters? If the box has a mass of 1 kilogram, what is its
density in gram/milliliter?

Sagot :

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The Volume and the density of the box are 480 in³, 7865.81 cm³, 0.127 g/mL

What is volume?

This is the measure of the capacity of substance an object can hold.

To calculate the volume  of the box, we use the formula below

Formula:

  • V = LWH................. Equation 1

Where:

  • V = Volume of the box
  • L = Length of the box
  • W = Width of the box
  • H = Height of the box.

From the question,

Given:

  • L = 10  inches
  • W = 8 inches
  • H = 6 inches.

Substitute these values into equation 1

  • V = 10(8)(6)
  • V = 480 in³

We convert the volume from cubic inches to cubic centimeters using the expression below.

  • V = (480×16.3871) = 7865.81  cm³

What is density?

Density can be defined as the ratio of the mass and volume of a body.

To calculate the density of the box, we use the formula below.

  • D = m/V.................. Equation 2

From the question,

Given:

  • m = 1 kg = 1000 g
  • V = 480 in³ = (480×16.3871) milliliter = 7865.81 mL

Substitute these values into equation 2

  • D = 1000/7865.81
  • D = 0.127 g/mL

Hence, The Volume and the density of the box are 480 in³, 7865.81 cm³, 0.127 g/mL.

Learn more about Density here: https://brainly.com/question/952755

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