Premixed concrete is sold in 80-pound bags, and each bag provides approximately 0.6 cubic feet of concrete. Which of the following is the best estimate of the number of 80-pound bags of premixed concrete needed to fill a rectangular foundation 6 feet wide by 10 feet long by 1 foot deep?

Rationale

100 bags of premixed concrete are needed to fill the foundation.

To determine the number of 80-pound bags required, we first calculate the volume of the rectangular foundation, which is 6 feet wide, 10 feet long, and 1 foot deep, resulting in a total volume of 60 cubic feet. Since each bag provides approximately 0.6 cubic feet, dividing the total volume by the volume per bag yields about 100 bags.

A (136) YOUR ANSWER

Estimating 136 bags would imply a total volume requirement of approximately 81.6 cubic feet (136 bags x 0.6 cubic feet per bag), which exceeds the actual volume of the foundation at 60 cubic feet. This overestimation does not accurately reflect the quantity needed.

B (130) YOUR ANSWER

Choosing 130 bags translates to a volume of about 78 cubic feet (130 bags x 0.6 cubic feet per bag), still exceeding the required volume of 60 cubic feet. Thus, this estimate is also too high for the dimensions of the foundation.

C (100) CORRECT

This choice correctly calculates the needed quantity of bags. The total volume of the foundation is 60 cubic feet, and dividing this by the volume provided by each bag (0.6 cubic feet) results in approximately 100 bags, making this the best estimate.

D (50) YOUR ANSWER

Opting for 50 bags would yield a volume of only 30 cubic feet (50 bags x 0.6 cubic feet per bag), which is insufficient to fill the foundation's volume of 60 cubic feet. This underestimation fails to meet the foundation's requirements.

E (36) YOUR ANSWER

Selecting 36 bags results in a volume of about 21.6 cubic feet (36 bags x 0.6 cubic feet per bag), which is significantly less than the required 60 cubic feet. This choice is an inadequate estimate for filling the foundation.

Conclusion

To fill a rectangular foundation measuring 6 feet by 10 feet by 1 foot, approximately 100 bags of premixed concrete are necessary, as calculated from the total volume of 60 cubic feet divided by the 0.6 cubic feet provided by each bag. The other options overestimate or underestimate the requirement, making 100 bags the most accurate estimate for this project.

Premixed concrete is sold in 80-pound bags, and each bag provides approximately 0.6 cubic feet of concrete. Which of the following is the best estimate of the number of 80-pound bags of premixed concrete needed to fill a rectangular foundation 6 feet wide by 10 feet long by 1 foot deep?

100 bags of premixed concrete are needed to fill the foundation.

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