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Mike works in a large Safeway warehouse and operates a forklift.He unloads a large shipment of boxes 3 ft wide and 3 ft long and 42 inches high.He must stack 3 on top of each other to use the least amount of space but only in one row in order to get at them easily.If the storage bay area is 22 ft long by 5 feet deep, what is the maximum number of washing machine boxes that Mike can store there?

Question

Mike works in a large Safeway warehouse and operates a forklift.He unloads a large shipment of boxes 3 ft wide and 3 ft long and 42 inches high.He must stack 3 on top of each other to use the least amount of space but only in one row in order to get at them easily.If the storage bay area is 22 ft long by 5 feet deep, what is the maximum number of washing machine boxes that Mike can store there?

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Solution

First, let's convert all measurements to the same unit for consistency. Since most of the measurements are given in feet, we'll convert the height of the boxes from inches to feet. There are 12 inches in a foot, so 42 inches is 42/12 = 3.5 feet.

Next, we need to determine the space each stack of boxes takes up. Since Mike stacks 3 boxes on top of each other, the height of each stack is 3 * 3.5 = 10.5 feet. The width and length of each stack remain the same as the individual boxes, 3 feet by 3 feet.

The storage bay area is 22 feet long and 5 feet deep. To find out how many stacks of boxes can fit, we divide the length of the storage area by the length of the stack and the depth of the storage area by the width of the stack.

So, the number of stacks that can fit lengthwise is 22/3 = 7.33 and the number of stacks that can fit depthwise is 5/3 = 1.67. Since we can't have a fraction of a stack, we round these numbers down to the nearest whole number. So, 7 stacks can fit lengthwise and 1 stack can fit depthwise.

Therefore, the maximum number of washing machine boxes that Mike can store in the storage bay area is 7 stacks * 1 stack = 7 stacks. Since each stack contains 3 boxes, Mike can store 7 * 3 = 21 washing machine boxes.

This problem has been solved

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