Consider two cubes. The smaller cube measures 7 inches on a side, and the larger cube measures 8 inches on a side. What is the ratio of the surface areas of the two cubes?
A) 49 : 64
B) 16 : 21
C) 7 : 12
D) 18 : 23
E) 7: 8

Question

Consider two cubes. The smaller cube measures 7 inches on a side, and the larger cube measures 8 inches on a side. What is the ratio of the surface areas of the two cubes? ​
A) 49 : 64
B) 16 : 21
C) 7 : 12
D) 18 : 23
E) 7: 8

Quizplus · Accepted Answer

The surface area of a cube is given by 6 * side^2. For the smaller cube, the surface area is 6 * 7^2 = 294 square inches. For the larger cube, the surface area is 6 * 8^2 = 384 square inches. The ratio of the surface areas is therefore 294 : 384, which simplifies to 49 : 64.

Consider Two Cubes