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 formula for the volume of a rectangular box is V = l x w x h, where l is the length, w is the width, and h is the height.
Plugging in the values given in the problem, we get:
V = (3 3/4) x (2 1/2) x (2 1/2)
First, let's convert the mixed numbers to improper fractions:
3 3/4 = (4 x 3 + 3)/4 = 15/4
2 1/2 = (2 x 2 + 1)/2 = 5/2
So, the equation becomes:
V = (15/4) x (5/2) x (5/2)
Multiplying the fractions together:
V = (15 x 5 x 5) / (4 x 2 x 2)
V = 187.5 / 16
Now, we need to simplify the fraction into a mixed fraction:
187.5 ÷ 16 = 11 with a remainder of 11.5
Therefore, the answer is:
V = 11 1/2 cubic feet.