## Volume and Surface Area of Solid Figures

#### Volume and Surface Area of Solid Figures

1. The number of small cubes with edges of 10 cm that can be accommodated in a cubical box 1 meter edge is ?

1. Number of cubes = (100 x 100 x 100)/(10 x 10 x 10) = 1000

##### Correct Option: D

Number of cubes = (100 x 100 x 100)/(10 x 10 x 10) = 1000

1. The volume of a sphere is 88/21 x (14)3 cm3. The curved surface of this sphere is ?

1. ∵ (4/3) x (22/7) x r3 = (88/21) x (14)3
⇒ r = 14

##### Correct Option: C

∵ (4/3) x (22/7) x r3 = (88/21) x (14)3
⇒ r = 14
∴ Curved surface = 4 x (22/7) x 14 x 14 cm2 = 2464 cm2

1. If the volume and surface are of a sphere are numerically the same then its radius is ?

1. 4/3 πr3 = 4πr2

##### Correct Option: C

4/3 πr3 = 4πr2
⇒ r = 3 units.

1. A cylinder and a cone have the same height and same radius of the base. The ratio between the volumes of the cylinder and the cone is ?

1. Ratio of their volumes = [πr2h] / [(1/3)πr2h] = 3/1

##### Correct Option: B

Ratio of their volumes = [πr2h] / [(1/3)πr2h] = 3/1
= 3 : 1

1. The area of the base of a rectangular tank is 6500 sq. cm and the volume of water contained in it is 2.6 cubic meters. The depth of water is ?

1. Let depth = D cm.
Then, D x 6500 = 2.6 x 100 x 100 x 100

##### Correct Option: B

Let depth = D cm.
Then, D x 6500 = 2.6 x 100 x 100 x 100
∴ D = (2.6 x 100 x 100 x 100) / 6500 cm
= 400 cm = 4 cm