Question

A sales rep needs some cardboard boxes to store samples at work.

The office supplier has three different sized boxes.
Box A: width 35cm, Length 35cm, Height 55cm
Box B: width 40cm, length 40cm, Height 40cm
Box C: Width 30cm, Length 60cm Height 30cm
Which box has the largest volume?
Explain your answer, include figures to support your explanation.

Answer 1

The box with largest volume is Box A. Its volume of 67,375 cm³ (cubic centimeter) or 0.068 m³(cubic meter) is higher than box B and box C.

Explanation:

1. Given that we know the three dimensions (length, width and height) of each box, we will use the following formula for calculating the volume:

Volume = Length * Width * Height

Box A

Volume = Length * Width * Height

Volume = 35 * 35 * 55

Volume = 67,375 cm³

Converting to m³ = 67,375 * 10⁻⁶ = 0.068 m³ (Rounding to 3 decimal places)

Box B

Volume = Length * Width * Height

Volume = 40 * 40 * 40

Volume = 64,000 cm³

Converting to m³ = 64,000 * 10⁻⁶ = 0.064 m³ (Rounding to 3 decimal places)

Box C

Volume = Length * Width * Height

Volume = 60 * 30 * 30

Volume = 54,000 cm³

Converting to m³ = 54,000 * 10⁻⁶ = 0.054 m³ (Rounding to 3 decimal places)

The box with largest volume is Box A. Its volume of 67,375 cm³ (cubic centimeter) or 0.068 m³(cubic meter) is higher than box B and box C.