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
?(1 point)
Responses

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

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

Answer 1

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