Question

find volume, total surface area, lateral surface area and the length of the diagonal of cube each whose edges measure 80cm

Answer 1

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

We know that

• Volume of cube = a3

By substituting the values

• Volume of cube = 93

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 cube = 4 × 92

So we get

Lateral surface area of cube = 4 × 81 = 324 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 = √3 a

By substituting the values

Diagonal of cube = 1.73 × 9 = 15.57 m

Therefore, the volume is 729 m3, lateral surface area is 324 m2, total surface area is 486 m2 and the diagonal of cube is 15.57 m.

Answer 2

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

We know that

Volume of cube = a3

By substituting the values

Volume of cube = 93

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 cube = 4 x 92

So we get

Lateral surface area of cube = 4 x 81 = 324 m2

We know that

Total surface area of cube = 6a?

By substituting the values

Total surface area of cube = 6 x 92

So we get

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

We know that

Diagonal of cube v3 a

By substituting the values

Diagonal of cube = 1.73 x 9 = 15.57 m

Therefore, the volume is 729 m3, lateral surface area is 324 m?, total surface area is 486 m2 and the diagonal of cube is 15.57 m.