The surface area is the area on the outside of a three-dimensional shape. A cube has all edges the same length, means each of the cube's six faces is a square. The total surface area is therefore six times the area of one face. Similarly, the lateral surface area of a cube is the sum of the area of the lateral faces of a cube.

**Steps for Finding the Surface Area of a Cube:**

1. Measure the length of any one side of the cube, because all dimensions are equal.

2. Find the surface area of one side of a cube and multiply the result by 6. (Surface Area = 6 (Side)^{2})

3. Write answer in the proper **square unit **of measurement.

**Example 1:**

Find the surface area of a lunch box whose shape is of a cube of edge 13 cm.

Solution:

Edge(side) of cubic lunch box = 13

Surface area of a cube = 6 side^{2} .^{}^{}=> Surface area of a cube = 6 (13^{2})

= 6 * 13 * 13

= 1014

**Hence surface area of a lunch box is 1014 sq. cm.**

Example 2:

Find the cost of painting a wooden box which is in the shape of a cube of side 10 cm at the rate of 25 cents per square cm.(Write answer in dollars)

**Solution:**

**Step 1:**

Given

Side of a cubic wooden box = 10

Step 2:

To find the cost of painting, firstly we have to find the surface area of the wooden box.

Surface area of a cube = 6 side^{2} .

=> Surface area of the wooden box = 6(10)^{2}

= 6 * 10 * 10

= 600

So the surface area of the wooden box is 600 sq. cm.

Step 3:

Since cost to paint per sq. unit is 25 cents.

=> The cost of painting a wooden box = 600 * 25

= 15000 cents.

Step 4:

1 dollar = 100 cents

or 1 cent = 0.01 dollar

=> 15000 * 0.01 = 150 dollars

Hence the cost of painting a wooden box is 150 dollars.