## Related questions with answers

Question

Anthony measured the dimensions of a rectangular box to be 45 cm by 35 cm by 2 m. Determine the volume of the box in cubic meters.

Solution

VerifiedStep 1

1 of 2To find the volume in cubic meters, we must first convert the measurements in centimeters to meters. We know 1 m = 100 cm so we can use the conversion rate of $\dfrac{1\text{ m}}{100\text{ cm}}$ to convert 45 cm and 35 cm to meters:

$45\text{ cm}\times\dfrac{1\text{ m}}{100\text{ cm}}=\frac{45}{100}\text{ m}=0.45\text{ m}$

$35\text{ cm}\times\dfrac{1\text{ m}}{100\text{ cm}}=\frac{35}{100}\text{ m}=0.35\text{ m}$

The dimensions of 45 cm by 35 cm by 2 m can then be written as 0.45 m by 0.35 m by 2 m.

The volume of the box in cubic meters is then (0.45 m)(0.35 m)(2 m) = 0.315 m$^3$.

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