- 1. The side of a cube is 8 m, Find the voiume?

A.) 513 m^{3}

B.) 514 m^{3}

C.) 512 m^{3}

D.) 502 m^{3}

Answer: Option 'C'

Cube Volume = a^{3}

a^{3} = 8^{3} = 512 m^{3}

- 2. The side of a cube is 15 m, find it's surface area?

A.) 1350 m^{2}

B.) 1250 m^{2}

C.) 1300 m^{2}

D.) 1450 m^{2}

Answer: Option 'A'

Surface area = 6 a^{2} sq. units

6 a^{2} = 6 × 225 = 1350 m^{2}

- 3. The side of a cube is 12 m, find the lateral surface area?

A.) 526 m^{2}

B.) 506 m^{2}

C.) 518 m^{2}

D.) 516 m^{2}

Answer: Option 'D'

Lateral surface = 4 a^{2}

4 × 12^{2} = 4 × 144 => 516 m^{2}

- 4. The lateral surface area of cube is 100 sq.units. find the volume of cube?

A.) 122 m^{3}

B.) 135 m^{3}

C.) 125 m^{3}

D.) 120 m^{3}

Answer: Option 'C'

Lateral surface = 4 a^{2} = 100 sq.units

a^{2} = 25

a = 5.

Cube volume = a^{3} => 125 m^{3}

- 5. The volume of cube is equal to the surface area of that cube. Then find the distance of side of the cube?

A.) 6 m

B.) 7 m

C.) 8 m

D.) 9 m

Answer: Option 'A'

Cube volume = a^{3} cubic units

Surface area = 6 a^{2} sq.units

a^{3} = 6 a^{2}

a = 6 m

- 6. The surface area of a cube is 486 Cm
^{3}. Find its volume?

A.) 739 Cm^{3}

B.) 529 Cm^{3}

C.) 729 Cm^{3}

D.) None of these

Answer: Option 'C'

Let each edge of the cube be a Cm.

Then 6 a^{2} = 486 => a^{2} = 81 = 9^{2} => a = 9

Volume = a^{3} = 9^{3} Cm^{3} => 729 Cm^{3}

- 7. The diagonal of a cube is 8√3. find its volume and surface area.

A.) 34 Cm^{2}

B.) 364 Cm^{3}

C.) 384 Cm^{2}

D.) 384 Cm^{3}

Answer: Option 'D'

√3.a = 8 √3 => a = 8

Volume = a^{3} => (8 × 8 × 8) Cm^{3} => 512 Cm^{3}

Surface area => 6 a^{2} => (6 × 8 × 8) Cm^{2} => 384 Cm^{2}

- 8. Three cubes of sides 5 m, 4 m, and 3 m are melted to form a new cube. Find the surface of the new cube?

A.) 216 Cm^{2}

B.) 256 Cm^{3}

C.) 216 Cm^{3}

D.) None of these

Answer: Option 'C'

Volume of the new cube = [ 5^{3} + 4^{3} + 3^{3} ] Cm^{3}

= 125 + 64 + 27 = 216 Cm^{3} => a^{3} = 216 Cm^{3}

- 9. Two cubes of thire sides ratio 2 : 3. Find its cube volumes ratio?

A.) 27 : 7

B.) 27 : 8

C.) 8 : 27

D.) 8 : 25

Answer: Option 'C'

a^{3} : b^{3} = 2^{3} : 3^{3}

= 8 : 27

- 10. Two cubes of their volumes in the ratio 64 : 125. The ratio of their surface area is:

A.) 5 : 4

B.) 4 : 5

C.) 3 : 5

D.) None of these

Answer: Option 'B'

The ratio of their surface area is

64 : 125

4 : 5

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