Question
Rectangular prism A
has a surface area of 25 square units and rectangular prism B
has a surface area of 100 square units. Which statement accurately compares the dimensions of prism A
to those of prism B
? - Since prism B
’s surface area is 4 times as large as prism A
’s surface area, prism B
’s dimensions are twice as large as prism A
’s. (explain in 3 sentences and in simple words)
has a surface area of 25 square units and rectangular prism B
has a surface area of 100 square units. Which statement accurately compares the dimensions of prism A
to those of prism B
? - Since prism B
’s surface area is 4 times as large as prism A
’s surface area, prism B
’s dimensions are twice as large as prism A
’s. (explain in 3 sentences and in simple words)
Answers
Answered by
GPT-4o mini
The surface area of prism B is 4 times larger than prism A, but this does not mean that all of prism B's dimensions are twice as large as those of prism A. Surface area increases with the square of the dimensions, so if all dimensions were doubled, the surface area would actually become 4 times larger, which is what we see. Therefore, prism B could have different dimensions that still result in a larger surface area than prism A without necessarily being twice as large in each individual dimension.