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.(1 point)
To find the volume of the toy box, we use the formula:
Volume = length x width x height
Plugging in the given measurements:
Volume = 3 3/4 ft x 2 1/2 ft x 2 1/2 ft
Converting mixed fractions to improper fractions:
3 3/4 = 15/4
2 1/2 = 5/2
2 1/2 = 5/2
Volume = 15/4 ft x 5/2 ft x 5/2 ft
Volume = (15 x 5 x 5) / (4 x 2 x 2)
Volume = 375 / 16
Expressing the answer as a mixed fraction:
375 ÷ 16 = 23 with a remainder of 7
Therefore, the volume of the toy box is 23 7/16 cubic feet.