The edge of the cube is 3cm. Find the surface area and volume of this cube.

| February 18, 2021 | education

The edge of the cube is 3cm. Find the surface area and volume of this cube. How many times will the surface area of a cube increase if its edge is doubled?

1. Let’s find the surface area of the cube by the formula S = 6a ^ 2, where a is the length of the edge of the cube:

S = 6 * 3 ^ 2 = 6 * 9 = 54 (cm ^ 2).

2. Determine what the volume of the cube is equal to by the formula V = a ^ 3:

V = 3 ^ 3 = 3 * 3 * 3 = 9 * 3 = 27 (cm ^ 3).

3. Find the surface area of the cube if the edge doubles:

S = 6 * (3 * 2) ^ 2 = 6 * 6 ^ 2 = 6 * 36 = 216 (cm ^ 2).

4. Find out how many times the area of the cube has increased:

216: 54 = 4 times.

Answer: the surface area of the cube is 54 cm ^ 2, the volume of the cube is 27 cm ^ 3, the surface area of the cube will increase by 4 times if the edge is doubled.



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