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.

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.

Step-by-step 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.