Question

find the lateral surface area and the total surface area of a cube whose edge is 9m​

Answer 1

Step-by-step explanation:

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

We know that

Volume of cube =a3

By substituting the values

Volume of cube a3

So we get

Volume of cube =729 m3

We know that

Lateral surface area of cube =4a2

By substituting the values

Lateral surface area of the cube =4×92

So we get

Lateral surface area of cube =4×81=214 m2

We know that

Total surface area of cube =6a2

By substituting the values

Total surface area of cube =6×92

So we get

Total surface area of cube =6×81=486 m2

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 m3, lettral surface area is 324 m2, total surface area is 486 m2 and the diagonal of cube is 15.57 m.