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 can use the formula for volume:
Volume = Length x Width x Height
Plugging in the measurements:
Volume = 3 3/4 feet x 2 1/2 feet x 2 1/2 feet
First, convert all mixed numbers to improper fractions:
3 3/4 = 15/4
2 1/2 = 5/2
2 1/2 = 5/2
Now, multiply the fractions:
Volume = (15/4) x (5/2) x (5/2)
Volume = (15 x 5 x 5) / (4 x 2 x 2)
Volume = 375 / 16
Now, express the volume as a mixed fraction:
Volume = 23 7/16 cubic feet
Therefore, the volume of the toy box is 23 7/16 cubic feet.