Calculate Surface Area: Cube with 12 cm Edges

Question

The edges of a cube are 12 cm long.

What is the surface area of the cube?

121212

Video Solution

Solution Steps

00:00 Find the surface area of the cube
00:03 Edge length according to the given data
00:06 We'll use the formula to calculate the surface area of a cube
00:10 Multiply the number of faces (6) by the area of one face
00:14 Substitute appropriate values and solve to find the surface area
00:22 And this is the solution to the problem

Step-by-Step Solution

To solve for the surface area of the cube, follow these steps:

  • Step 1: Identify the given information. The edge length of the cube is 12 cm.
  • Step 2: Apply the surface area formula for a cube, which is A=6s2 A = 6s^2 , where ss is the side length.
  • Step 3: Substitute the side length into the formula: A=6×122 A = 6 \times 12^2 .
  • Step 4: Calculate 122=14412^2 = 144.
  • Step 5: Multiply the result by 6: A=6×144=864 A = 6 \times 144 = 864 .

Therefore, the surface area of the cube is 864cm2 864 \, \text{cm}^2 .

Answer

864 864 cm².