In cubic feet, what is the volume of a toy box measuring 3 3/4 feet long, 2 1/2 feet wide, and 2 1/2 feet tall? Use the volume formula to solve. The answer will be a mixed fraction in cubic feet.

Answer 1

The volume formula is:

volume = length x width x height

Plugging in the given measurements, we get:

volume = 3 3/4 ft x 2 1/2 ft x 2 1/2 ft

To multiply these mixed numbers, we need to convert them to improper fractions:

3 3/4 = (4 x 3 + 3) / 4 = 15/4
2 1/2 = (2 x 2 + 1) / 2 = 5/2
2 1/2 = (2 x 2 + 1) / 2 = 5/2

So the formula becomes:

volume = (15/4) ft x (5/2) ft x (5/2) ft

Multiplying the numerators and denominators separately, we get:

volume = (15 x 5 x 5) / (4 x 2 x 2) ft^3

Simplifying the fraction, we get:

volume = 187.5 / 16 ft^3

Expressing this as a mixed fraction, we get:

volume = 11 7/16 ft^3