Question

Rectangular prism A
𝐴
has a surface area of 25 square units and rectangular prism B
𝐵
has a surface area of 100 square units. Which statement accurately compares the dimensions of prism A
𝐴
to those of prism B
𝐵
?(1 point)
Responses

Since prism B
𝐵
’s surface area is 4 times as large as prism A
𝐴
’s surface area, prism B
𝐵
’s dimensions are twice as large as prism A
𝐴
’s.
Since prism upper B ’s surface area is 4 times as large as prism upper A ’s surface area, prism upper B ’s dimensions are twice as large as prism upper A ’s.

Since prism B
𝐵
’s surface area is 4 times as large as prism A
𝐴
’s surface area, prism B
𝐵
’s dimensions are 16 times as large as prism A
𝐴
’s.
Since prism B
𝐵
’s surface area is 4 times as large as prism A
𝐴
’s surface area, prism B
𝐵
’s dimensions are 8 times as large as prism A
𝐴
’s.
Since prism upper B ’s surface area is 4 times as large as prism upper A ’s surface area, prism upper B ’s dimensions are 8 times as large as prism upper A ’s.

Since prism B
𝐵
’s surface area is 4 times as large as prism A
𝐴
’s surface area, prism B
𝐵
’s dimensions are half as large as prism A
𝐴
’s.

Answer 1

Since surface area scales as the square of linear dimensions, k = sqrt(100/25) = sqrt(4) = 2, so prism B’s dimensions are twice as large as prism A’s.