Question

Q. Find the volume, lateral surface area and the total
surface area of a cube each side measures 8 cm.​

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.

Step-by-step explanation: