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21 August, 17:07

a bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet. a sand box has a volume of 16 cubic feet. approximately how many pounds of sand will it take to fill the sandbox?

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  1. 21 August, 17:23
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    There are 1344 pound of sand will it take to fill the sand box

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - A bag of a certain type of sand weighs 42 pounds

    - The volume of the bag is 0.5 cubic feet

    - The volume of a sand box is 16 cubic feet

    - We need to know how many pounds of sand will it take from the

    bags to fill the sand box

    - To know that we must to calculate the number of sand bags will

    used to fill the sand box with sand

    - The number of bags = volume of the box : volume of a bag

    ∵ The volume of a bag is 0.5 feet³

    ∵ The volume of the box is 16 feet³

    ∵ The number of bags = volume box : volume bag

    ∴ The number of bags = 16 : 0.5 = 32

    ∴ The number of the bags of sand is 32

    - To fill the sand box with sand we need 32 bags of sand

    ∵ The weight of each bag is 42 bounds

    ∵ The number of bags that will fill the sand box is 32

    ∴ The number of pounds = 32 * 42 = 1344 pounds of sand

    * There are 1344 pound of sand will it take to fill the sand box
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