Find the volume of the storage box with the height at 3 1/2 ft and the area of the base at 157 1/2 ft2
A. 161 ft3
B. 551 1/4 ft3
C. 275 5/8 ft3
D. 1929 3/8 ft3
To find the volume of the storage box, we multiply the height by the area of the base.
First, let's convert the mixed numbers to improper fractions:
Height: 3 1/2 ft = 7/2 ft
Area of the base: 157 1/2 ft2 = 315/2 ft2
Now we can multiply the two fractions:
Volume = height * area of the base
= (7/2) * (315/2)
= (7 * 315) / (2 * 2)
= 2205/4
Finally, we can simplify the fraction:
Volume = 551 1/4 ft^3
So, the correct answer is B. 551 1/4 ft^3.