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Section 8.4: Surface Areas and Volumes of Similar Solids — Practice Questions

  1. 1. A boll weevil is 1 cm long and weighs 0.0003 grams. If a mutant boll weevil grew to be 5 meters long, how much would it weigh in grams? (Assume weight scales with volume, and 1 m = 100 cm). ___

  2. 2. A 15 cm tall jar holds 280 jelly beans. Assuming the number of jelly beans is proportional to volume, how many jelly beans should a similar 45 cm tall jar hold? ___

  3. 3. A 1:50 scale model of a 158,100-pound B2 Bomber is made. How much will the model weigh in pounds? (Assume weight scales with volume). ___

  4. 4. Each dimension of a super-bucket of chicken is 1.5 times that of a mini-bucket. Which is the better deal for the same price: three mini-buckets or one super-bucket?

    • A. Three mini-buckets
    • B. One super-bucket
    • C. They are an equal deal
    • D. Not enough information
  5. 5. A four-inch tall bottle holds 100 cubic centimeters of medicine. How much medicine, in cubic centimeters, does a six-inch tall bottle of a similar shape hold? ___

  6. 6. A 3-inch by 5-inch photograph is enlarged by a factor of 1.5 in each dimension. What will be the area of the enlarged photograph in square inches? ___

  7. 7. A model of a dome is 0.5 meters in diameter and required 15.7 square meters of gold leaf. The actual dome is 20 meters in diameter. How much gold leaf, in square meters, is needed for the actual dome? ___

  8. 8. A scale model of a sailboat has dimensions that are one-tenth of the real sailboat. If the real sail has an area of 75 square feet, what is the area of the model's sail in square feet? ___