Question

Mr. Smith built a rectangular-shaped sandbox for his children, measuring 4 feet by 4 feet by 6 inches. Sand has a density of approximately 100 pounds per cubic foot and is sold in 50-pound bags for $3.50 each. How much will it cost Mr. Smith to completely fill the sandbox?Mr. Smith built a rectangular-shaped sandbox for his children, measuring 4 feet by 4 feet by 6 inches. Sand has a density of approximately 100 pounds per cubic foot and is sold in 50-pound bags for $3.50 each. How much will it cost Mr. Smith to completely fill the sandbox?

Answer 1

To completely fill the sandbox will cost $56

Explanation:

First, we calculate volume of the rectangular-shaped sandbox:

`V=long*with*height\\V=4feet*4feet*0.5feet\\V=8cubicfoot`

We know that density of sand is 100 pounds per cubic foot. Then, to fill the sand box that has a volume of 8 cubic foot, we calculate by rule 3:

1cubic foot..............100 pounds

8 cubic foot.............x pounds

`x=(8*100)/(1)`

`x=800 pounds`

We will need 800 pounds of sand to fill the sandbox, then we can calculate by rule 3 the number of bags needed and next the total cost of them:

50 pounds.......1bag

800 pounds.....x bags

`x=(800*1)/(50) \\x=16`

To calculate the cost:

1 bag ..................$3.50

16 bags.................$x

`x=16*3.50\\x=$56`

To completely fill the sandbox will cost $56