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Mkey [24]
3 years ago
11

Mr. Smith built a rectangular-shaped sandbox for his children, measuring 4 feet by 4 feet by 6 inches. Sand has a density of app

roximately 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?
Mathematics
1 answer:
ehidna [41]3 years ago
4 0

Answer:

To completely fill the sandbox will cost $56

Step-by-step 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=\frac{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=\frac{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

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