Premixed concrete is sold in 80-pound bags, and each bag provides approximately 0.6 cubic foot 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

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

To determine the number of bags required, we first calculate the volume of the foundation. The volume is given by multiplying width, length, and depth, which results in 60 cubic feet. Since each bag provides about 0.6 cubic feet, dividing the total volume by the volume per bag gives approximately 100 bags needed.

A (136) YOUR ANSWER

Estimating 136 bags implies a miscalculation in either the volume of the foundation or the volume provided by each bag. If we assume the foundation's volume is accurately 60 cubic feet, using 136 bags would suggest each bag contains less than 0.44 cubic feet of concrete, which contradicts the provided estimate of 0.6 cubic feet per bag.

B (100) CORRECT

This is the correct choice, as it accurately reflects the calculations. Dividing the total volume of the foundation (60 cubic feet) by the volume per bag (0.6 cubic feet) results in precisely 100 bags needed to fill the foundation completely.

C (50) YOUR ANSWER

Choosing 50 bags suggests an overestimation of the volume each bag can cover. If 50 bags were used, that would only provide 30 cubic feet of concrete (50 bags × 0.6 cubic feet/bag), which is insufficient to fill a foundation measuring 60 cubic feet.

D (36) YOUR ANSWER

Selecting 36 bags indicates a significant underestimation of the total volume required. Using 36 bags would yield only 21.6 cubic feet of concrete (36 bags × 0.6 cubic feet/bag), which is far below the necessary volume to fill a 60 cubic foot foundation.

Conclusion

Calculating the number of premixed concrete bags needed for a foundation requires accurate volume assessments. The correct estimation of approximately 100 bags aligns with the foundation's volume of 60 cubic feet when considering each bag provides 0.6 cubic feet. Other options either underestimate or overestimate the volume needed, emphasizing the importance of precise calculations in construction projects.

Premixed concrete is sold in 80-pound bags, and each bag provides approximately 0.6 cubic foot 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?

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

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