Question

A cube of steel has dimensions 0.2m • 0.2m • 0.2m what is the volume of the cube in cubic centimeters

Answer 1

Answer:

20 cm x 20 cm x 20 cm = 8000 cm^3

Explanation:

we know that 1 m = 100 cm

so, if  1 m =100 cm then 0.2 m= 0.2 x 100 cm= 20 cm

:. 20 cm x 20 cm x 20 cm = 8000 cm^3

Answer 2

Answer:

Area of one face 400 cm²

Explanation:

Area of one face = 400 cm²

Step-by-step explanation:

Given:

Dimension of the new cube is twice the original one

Volume of new cube = 64000 cm3

To Find:

Area of one face of original cube

Concept:

Here we have to first find the side of the original cube and then find the area of the face of the original cube.

Solution:

Let a be the length of side of the original cube.

Hence length of side of new cube would be 2a

The volume of a cube is given by the formula

Volume of a cube a³

Volume of new cube = (2a)³

8a = 64000

a = 8000

a = ³√8000

a = 20 cm

Hence the length of side of the original cube = 20 cm.

Area of one face of a cube is given by the formula,

Area of one face = a²

Substituting the datas we get,

Area of one face = 20 x 20

Area of one face 400 cm²

Notes: - The total surface area of a cube is given by the equation,

Notes: - The total surface area of a cube is given by the equation,TSA of a cube = 6 a²

Notes: - The total surface area of a cube is given by the equation,TSA of a cube = 6 a²→Volume of a cube is given by the formula, Volume of a cube