Calculate the Surface Area of a Cube with 4cm Edges: Complete Solution

Question

A cube has edges measuring 4 cm long.

Calculate the surface area of the cube.

444

Video Solution

Solution Steps

00:00 Calculate the surface area of the cube
00:03 Edge length according to the given data
00:06 Use the formula to calculate cube surface area
00:10 6 times the edge squared
00:13 Substitute the edge length and solve for surface area
00:17 Calculate 4 squared
00:22 And this is the solution to the question

Step-by-Step Solution

In order to find the surface area of the cube, we need to understand that a cube has 6 identical square faces.

The formula for the surface area of a cube is given by:

A=6s2 A = 6s^2

where s s is the length of an edge of the cube.

According to the problem, each edge of the cube is 4 cm long. We can substitute this value into the formula:

A=6×(4)2 A = 6 \times (4)^2

This simplifies to:

A=6×16 A = 6 \times 16

Performing the multiplication gives us:

A=96 A = 96

Thus, the total surface area of the cube is 96cm2 96 \, \text{cm}^2 .

Therefore, the correct answer is 96 cm2\text{96 cm}^2, which corresponds to choice 2.

Answer

96 96 cm².