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)
ft.3
The volume of a rectangular prism (such as a toy box) can be calculated using the formula:
Volume = length x width x height
In this case, the length is 3 3/4 ft, the width is 2 1/2 ft, and the height is also 2 1/2 ft.
Converting the mixed numbers to improper fractions:
3 3/4 = 15/4
2 1/2 = 5/2
Plugging in the values into the formula:
Volume = 15/4 x 5/2 x 5/2
Volume = (15 x 5 x 5) / (4 x 2 x 2)
Volume = 375 / 16
So, the volume of the toy box is 375/16 cubic feet, which is equivalent to 23 7/16 cubic feet.