A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 feet,and the larger shipping container has side lengths of 10 feet. How many crates will fit in the largest shipping container?Explain your reasoning
Accepted Solution
A:
Answer:64 cratesStep-by-step explanation:Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feetLarger Container (Cube) Side Length = 10 feetWe find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.Volume of Cube = x^3Where x is the side length of the cubeNow,Small Crate Volume = (2.5)^3 = 15.625 cubic feetLarge Container Volume = 10^3 = 1000 cubic feetNumber of crates that would fit = 1000/15.625 = 64So, 64 crates will fit in the largest shipping container