Question

A sandbox has a

rectangular base that measures
4 1/2 feet by 4 feet. The height is 1/3 of the length of the
longest side of the base. How many cubic feet of
sand can the sandbox hold?

Answer 1

27 ft³

Explanation:

4 1/2 > 4

Then, the longest side of the base is:

4 1/2

4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2

(1/3)(9/2) = (1*9)/(3*2) = 9/6

Heigth = 9/6 ft

Cubic feet = volume

Volume = area of the base * heigth

Area of the base = 4 1/2ft * 4ft = 9/2 ft * 4/1 ft = (9*4) / (2*1) = 36/2 = 18ft²

Volume = 18ft² * (9/6)ft = 18*9/6 = 27ft³