You are asked to buy bags of cement to pour a cement pad for a hot tub. You need to fill the pad frame which is a square frame measuring 8 feet long and 1 foot high. Each bag of cement mixed will fill 5 cubic feet in the frame. How many bags will you need to buy to ensure enough to fill the entire frame?
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Detailed Explanation
The formula for volume or capacity is:
V = LWH
Where L is length, W is width, and H is height.
For a square-shaped base, L = W, so
V = LLH
Compute for the volume to be filled up:
V = (8)(8)(1) = 64 cubic feet
Compute how many bags will be needed if 1 bag can fill 5 cubic feet of volume:
Round off to 13 bags of cement
TIP: How will you know when to use the formula for volume, V=LWH, when the problem has not specifically asked for the volume? Values given in cubic units, such as 5 cubic feet, indicate that you will be dealing with volume or capacity. Take note, however, that formulas for volume vary with shape. V = LWH works only for square solids (called cubes) or rectangular solids.
V = LWH
Where L is length, W is width, and H is height.
For a square-shaped base, L = W, so
V = LLH
Compute for the volume to be filled up:
V = (8)(8)(1) = 64 cubic feet
Compute how many bags will be needed if 1 bag can fill 5 cubic feet of volume:
Round off to 13 bags of cement
TIP: How will you know when to use the formula for volume, V=LWH, when the problem has not specifically asked for the volume? Values given in cubic units, such as 5 cubic feet, indicate that you will be dealing with volume or capacity. Take note, however, that formulas for volume vary with shape. V = LWH works only for square solids (called cubes) or rectangular solids.
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