The edge of a cube is 5 cm, find the surface area and volume of this cube.

| April 2, 2021 | education

The edge of a cube is 5 cm, find the surface area and volume of this cube. How many times will the surface area increase and how many times will the volume of a cube if its edge is doubled?

1) The volume of the cube is calculated by the formula:

V1 = 5 ^ 3 = 125 (cm ^ 3)

2) Find the surface area of ​​the cube: The cube consists of six squares with a side of 5 cm.Therefore, you need to find the area of ​​one square and multiply by 6 – we get the surface area:

S1 = 6 * 5 ^ 2 = 150 (cm ^ 2)

3) Find the edge of the cube, doubled:

5 * 2 = 10 (cm)

4) Find the surface area and volume of the cube if its edge is doubled:

S2 = 6 * 10 * 10 = 600 (cm ^ 2)

V2 = 10 * 10 * 10 = 1000 (cm ^ 3)

5) Determine how many times the surface area and volume will increase:

S2: S1 = 600: 150 = 4 – the area will increase by 4 times

V2: V1 = 1000: 125 = 8 – the volume will increase by 8 times.



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