A box contains 27 cubic feet of sand at 105 pounds per cubic foot; empty box weighs 1200 pounds. What is the correct equation to find the total weight?

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Multiple Choice

A box contains 27 cubic feet of sand at 105 pounds per cubic foot; empty box weighs 1200 pounds. What is the correct equation to find the total weight?

Explanation:
Total weight comes from adding the weight of the contents to the weight of the box. The sand’s weight is found by volume times density: 27 cubic feet × 105 pounds per cubic foot = 2,835 pounds. Then add the empty box weight of 1,200 pounds to get 4,035 pounds. Expressed as an equation, that is 27 × 105 + 1,200 = 4,035 pounds. This form is correct because you multiply the volume by its density to get the sand’s weight, then add the box’s own weight. Multiplying the sum (105 + 1,200) would incorrectly mix density with total weight, and other options either split the steps without presenting a single equation or miscompute the final total.

Total weight comes from adding the weight of the contents to the weight of the box. The sand’s weight is found by volume times density: 27 cubic feet × 105 pounds per cubic foot = 2,835 pounds. Then add the empty box weight of 1,200 pounds to get 4,035 pounds. Expressed as an equation, that is 27 × 105 + 1,200 = 4,035 pounds.

This form is correct because you multiply the volume by its density to get the sand’s weight, then add the box’s own weight. Multiplying the sum (105 + 1,200) would incorrectly mix density with total weight, and other options either split the steps without presenting a single equation or miscompute the final total.

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