Question

Dana is holding a bottle of shampoo, which is cylindrical in shape with a radius of about 2 in. and a height of about 7 in. She is wondering how many bottles of this shampoo she can fit in a suitcase that is shaped like a rectangular prism and is about 3 ft long, 2 ft wide, and 1 ft tall. Her reasoning, shown here, contains an error. The shampoo bottle has a volume of about 88 in³, or about 8×101 in³. The suitcase has a volume of about 10,368 in³, or about 1×105 in³. 1×1058×101=18×104 , so about 1250 bottles of shampoo could fit in the suitcase. What is Dana's error?Dana is holding a bottle of shampoo, which is cylindrical in shape with a radius of about 2 in. and a height of about 7 in. She is wondering how many bottles of this shampoo she can fit in a suitcase that is shaped like a rectangular prism and is about 3 ft long, 2 ft wide, and 1 ft tall. Her reasoning, shown here, contains an error. The shampoo bottle has a volume of about 88 in³, or about 8×101 in³. The suitcase has a volume of about 10,368 in³, or about 1×105 in³. 1×1058×101=18×104 , so about 1250 bottles of shampoo could fit in the suitcase. What is Dana's error?

Answer 1

The value 10,368 should have been rounded to 1×10^4

Explanation:

Answer 2

D

Explanation:

The following options are missing:

A. The value 88 should have been rounded to 8×10²

B. The volume of the shampoo bottle is not 88 in³

C. The volume of the suitcase is not about 10,368 in³

D. The value 10,368 should have been rounded to 1×10^4

Volume of the shampoo bottle: π*radius² *height = π*2²*7 = 88 in³. Which was rounded to 8×10^1 = 80

Volume of the rectangular prism: length*width*height = 3*2*1 = 6 ft³ or 10368 inches³. Which was rounded to 1×10^5 = 100,000. This is incorrect, it should have been rounded to 1×10^4 = 10,000