Volume and Surface Area of Solid Figures
 The number of small cubes with edges of 10 cm that can be accommodated in a cubical box 1 meter edge is ?

View Hint View Answer Discuss in Forum
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
 The volume of a sphere is 88/21 x (14)^{3} cm^{3}. The curved surface of this sphere is ?

View Hint View Answer Discuss in Forum
∵ (4/3) x (22/7) x r^{3} = (88/21) x (14)^{3}
⇒ r = 14Correct Option: C
∵ (4/3) x (22/7) x r^{3} = (88/21) x (14)^{3}
⇒ r = 14
∴ Curved surface = 4 x (22/7) x 14 x 14 cm^{2} = 2464 cm^{2}
 If the volume and surface are of a sphere are numerically the same then its radius is ?

View Hint View Answer Discuss in Forum
4/3 πr^{3} = 4πr^{2}
Correct Option: C
4/3 πr^{3} = 4πr^{2}
⇒ r = 3 units.
 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 ?

View Hint View Answer Discuss in Forum
Ratio of their volumes = [πr^{2}h] / [(1/3)πr^{2}h] = 3/1
Correct Option: B
Ratio of their volumes = [πr^{2}h] / [(1/3)πr^{2}h] = 3/1
= 3 : 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 ?

View Hint View Answer Discuss in Forum
Let depth = D cm.
Then, D x 6500 = 2.6 x 100 x 100 x 100Correct 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