The two solids are similar and the ratio between the lengths of their edges is 2:9. What is the ratio of their surface areas? A) The ratio of the perimeters is the same as the ratio of their edges.

B) The ratio of the areas is the square of the ratio of their edges

C) The ratio of the volumes is the cube of the ratio of their edges.

Question

Mathematics

Alexus

20 April, 15:36

The two solids are similar and the ratio between the lengths of their edges is 2:9. What is the ratio of their surface areas? A) The ratio of the perimeters is the same as the ratio of their edges.

B) The ratio of the areas is the square of the ratio of their edges

C) The ratio of the volumes is the cube of the ratio of their edges.

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Answers (1)

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Amos · Answer 1

When tow solids of similar shape that is assuming to be a box in this case, having a length ratio of 2:9, we get the ratio of the surface areas equal to the square of the ratio of their edges. This is becaue the surface area is equal to the area of the base (square) which is the square of the side. Answer is B.