Middle School

A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet of sand. Did the customer buy too much or too little sand? Justify your answer.

Answer :

The customer bought more sand than is needed to fill the sandbox.

Solution:

A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet

Find the volume of box

[tex]Volume = length \times width \times height\\\\Volume = 6 \times 5 \times 1.2\\\\Volume = 36\ feet^3[/tex]

A customer buys a sandbox of 40 cubic feet of sand

We know that,

40 cubic feet > 36 cubic feet

Thus,

volume of sand > volume of rectangular sandboxes

Therefore, the customer bought more sand than is needed to fill the sandbox.

Final answer:

The customer bought too much sand for their sandbox, as the calculated volume of the sandbox is 36 cubic feet, and they purchased 40 cubic feet of sand.

Explanation:

The subject of the question is to find out if a customer purchased the correct amount of sand for a sandbox that has dimensions of 6 feet by 5 feet by 1.2 feet. To solve this, we must calculate the volume of the sandbox and compare it to the amount of sand purchased. The volume is found by multiplying the length by the width by the height: 6 feet × 5 feet × 1.2 feet, which equals 36 cubic feet. Since the customer purchased 40 cubic feet of sand, they purchased more sand than needed for the sandbox as the sandbox can only contain 36 cubic feet of sand.