Question

Alice’s chicken coop (cage) has a total volume of 1,472 cubic feet (ft3). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to m3. Round your answer to the nearest tenth.

Answer 1

41.7 m³

Explanation:

You want a volume of 1472 ft³ expressed in cubic meters.

Units conversion

One foot is exactly 0.3048 meters, so we can write the fraction ...

(0.3048 m)/(1 ft)

and it will have a value of 1. When we multiply by this, it does not change the length, but it changes the units of the length.

Volume

The volume is expressed as the third power of the length unit, so we need to use this conversion factor 3 times.

1472 ft³ = (1472 ft³) × ((0.3048 m)/(1 ft))³ = 1472·0.3048³ m³ ≈ 41.7 m³

The volume of Alice's chicken coop is about 41.7 cubic meters.