Question

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

Answer 1

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,

• w: width
• l: length
• h: height

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`