Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inches. Each bag of sand contains 0.15 cubic foot of sand. How many bags of sand will Jack need to fill the box completely?

Mathematics · High School · Tue Nov 03 2020

Answered on

The formula for the volume of rectangle is V = l x w x h. Where l is length, w is weight, h is height and v is volume. Since the values of l, w and height is already given, substitute and multiply the given numbers to find for the volume of the rectangle.
> V = l x w x h
> V = 3 x 6 x 2.4
> V = 43.2inch³.
To calculate for the number of bags will be used, divide the volume of the box by the volume of the bag, Since the volume of the bag is in cubit foot, convert it first into cubic inches. 1 cubic foot = 12 cubic inches. To convert 0.15 cubic foot into cubic inches, cross multiply 0.15 cubic foot by 12 cubic inches/ 1 cubic foot.
> 0.15 cubic foot times 12 cubic inches/ 1 cubic foot
> 0.15 times 12 cubic inches/1
> 1.8 cubic inches.
Since we now have the volume of bags of sand in cubic inches, divide the volume of the box by the volume of the bag and you will get the number of bags Jack needs to fill the box.
>43.2inch³ / 1.8inch³
> 43.2 / 1.8 
> 24
Jack needs 24 bags of sand.

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