Question Hans makes a wooden puzzle in the shape of a cube. If a single side of the cute is 3.5 inches long, what is the surface area of the cube? Draw a net to help. (1 point)

Answer 1

To find the surface area of a cube, you can use the formula:

\[ \text{Surface Area} = 6 \times s^2 \]

where \( s \) is the length of a side of the cube. In this case, the length of a side of the cube is 3.5 inches.

1. First, calculate \( s^2 \): \[ s^2 = (3.5 , \text{inches})^2 = 12.25 , \text{square inches} \]

2. Now, calculate the surface area: \[ \text{Surface Area} = 6 \times 12.25 , \text{square inches} = 73.5 , \text{square inches} \]

So, the surface area of the cube is 73.5 square inches.

Net of the Cube

To visualize the cube and understand the surface area calculation better, you can draw the net of the cube. The net of a cube consists of six square faces arranged in a cross shape. Here's how you can sketch the net:

       +-------+
       |   1   |
       +-------+
+-------+-------+-------+
|   2   |   3   |   4   |
+-------+-------+-------+
       +-------+
       |   5   |
       +-------+
       |   6   |
       +-------+

Each of the numbers represents one face of the cube. When you fold this net along the edges, it will form the 3D shape of the cube.

Thus, the answer is:

• Surface Area = 73.5 square inches
• Visual representation (net) of a cube as shown above.