The surface area ratio of the enlarged cube to the original cube is 16:1, or as a fraction, 16/1.
If the scale factor is 4, the edge length of the enlarged cube is 24 cm.
(6 × 4 = 24)
To find the surface area of a cube, you can use the formula [tex]SA=6a^2[/tex], where a is equal to the edge length of the cube.
First, I will solve for the surface area of the original cube.
SA = 6 × 6²
SA = 6 × 36
SA = 216
Next, I will solve for the surface area of the enlarged cube.
SA = 6 × 24²
SA = 6 × 576
SA = 3456
To find the ratio, we divide the original cube's surface area from the enlarged cube's surface area.
3456 ÷ 216 = 16
The surface area ratio of the enlarged cube to the original cube is 16:1, or as a fraction, 16/1.
