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The height of the sandbox is 18 inches. Sheldon wants to purchase sand for the sandbox. The sand is sold in 3 cubic foot bags. How many bags of sand will he need to purchase to fill the sandbox?

a) 2 bags
b) 3 bags
c) 4 bags
d) 5 bags

User Calanus
by
7.8k points

1 Answer

3 votes

Final answer:

To determine the number of bags of sand Sheldon needs to purchase to fill the sandbox, we first need to calculate the volume of the sandbox. "4 bags" of sand will he need to purchase to fill the sandbox. So, the correct option is "c" " 4 bags".

Step-by-step explanation:

Certainly! Let's proceed with the calculation:

Convert the height of the sandbox to feet:

Height in feet

=

18

 inches

12

=

1.5

 feet

Height in feet=

12

18inches

​ =1.5feet

Calculate the volume of the sandbox:

Volume

=

Length

×

Width

×

Height

Volume=Length× Width× Height

Since we don't have the dimensions (Length and Width), we can't calculate the exact volume. However, let's use a general formula:

Volume

=

Length

×

Width

×

1.5

 feet

Volume=Length×Width×1.5feet

Determine the number of bags needed:

Number of Bags

=

Total Volume

Volume per Bag

Number of Bags=

Volume per Bag

Total Volume

​Given that each bag is 3 cubic feet:

Number of Bags

=

Volume

3

Number of Bags=

3

Volume

​Without the specific dimensions of the sandbox, we cannot provide an exact number of bags, but you can use these formulas once you have the length and width of the sandbox. For example, if the sandbox is 3 feet by 3 feet, then the volume would be

3

×

3

×

1.5

=

13.5

3×3×1.5=13.5 cubic feet, and the number of bags needed would be

13.5

3

=

4.5

3

13.5

​ =4.5 bags. In this case, Sheldon would need to purchase 5 bags to ensure he has enough sand to fill the sandbox.

4 bags" of sand will he need to purchase to fill the sandbox. So, the correct option is "c" " 4 bags".

User Rodrigo Laguna
by
8.4k points

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