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.
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