Question

find the volume the lateral surface and the total surface area of the cube each of whose edges measure 9 m​

Answer 1

Answer:

It is given that each edge of a cube =9m

We know that

Volume of cube =a

3

By substituting the values

Volume of cube a

3

So we get

Volume of cube =729 m

3

We know that

Lateral surface area of cube =4a

2

By substituting the values

Lateral surface area of the cube =4×9

2

So we get

Lateral surface area of cube =4×81=214 m

2

We know that

Total surface area of cube =6a

2

By substituting the values

Total surface area of cube =6×9

2

So we get

Total surface area of cube =6×81=486 m

2

We know that

Diagonal of cube =√3a

By substituting the values

Diagonal of cube =1.73×9=15.57 m

Therefore, thew volume is 729 m

3

, lettral surface area is 324 m

2

, total surface area is 486 m

2

and the diagonal of cube is 15.57 m.

Answer 2

Step-by-step explanation:

Volume = a³ = 9³ = 729m ²

Lateral surface area = 4a² = 324 m²

Total surface area = 6a² = 486 m²