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timofeeve [1]
3 years ago
11

Jodi built a rectangular sandbox for her daughter. The sandboxmeasures6 feet by 5feet by 1.2 feet. Jodi purchases 20cubic feet o

f sand to fillthe sandbox. How much sand will the sandbox hold? Did Jodi purchaseenough sand to fill the sandbox to the top?
Incorrect Work/SolutionIdentify and
Explain the ErrorV = BhV = 6(5)2(1.2)V = 302(1.2)V = (15)(1.2)V= 18The sandbox will hold 18 cubic feet of sand.
Jodi purchasedenough sand to fill the sandbox to the top.Correct Work/ SolutionShare a Strategy
Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0

For this case, the first thing to do is to model the rectangular sandbox as a rectangular prism.

The volume of the prism is given by:

V = w * l * h

Where,

  • <em>w: width </em>
  • <em>l: length </em>
  • <em>h: height </em>

Therefore, replacing values we have:

V = 6 * 5 * 1.2\\V = 36 ft ^ 3

We observed that:

36 ft ^ 3> 20 ft ^ 3

Therefore, the sandbox is not completely filled.

Answer:

the sandbox will hold 36 ft ^ 3 of sand

Jodi purchase is not enough sand to fill the sandbox to the top.

36 ft ^ 3> 20 ft ^ 3

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