Question

Jayne stacked 2 cubes on top of each other as shown. The edge length of the smaller cube is half the edge length of the cube below it. What is the surface area of the new figure?

A smaller cube is stacked on top of the larger cube with edge lengths of 14 meters.

Answer 1

To find the surface area of the new figure, calculate the surface area of both cubes and add them together. The surface area of the smaller cube is 294 square meters, and the surface area of the larger cube is 1176 square meters. Therefore, the surface area of the new figure is 1470 square meters.

Step-by-step explanation:

To find the surface area of the new figure, we need to calculate the surface area of both cubes and add them together. Let's start with the smaller cube.

The edge length of the smaller cube is half the edge length of the cube below it, which is 14 meters. Therefore, the edge length of the smaller cube is 14/2 = 7 meters.

Now, let's calculate the surface area of the smaller cube. The formula for the surface area of a cube is SA = 6s^2, where s is the edge length.

Plugging in the values, we get SA = 6(7)^2 = 6(49) = 294 square meters.

Next, let's calculate the surface area of the larger cube. The edge length of the larger cube is 14 meters.

Using the same formula, we get SA = 6(14)^2 = 6(196) = 1176 square meters.

Finally, we add the surface areas of both cubes to find the surface area of the new figure. SA(new figure) = SA(smaller cube) + SA(larger cube) = 294 + 1176 = 1470 square meters.