VOLUME AND SURFACE AREA (CDS)

Total Questions: 106

101. A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 cm². Which one of the following is correct? [2014 (I) Morning Shift]

Correct Answer: (a) Both cube and cuboid can be painted
Solution:Surface area of cube which can be painted = 6 (side) = 6(2)² = 24cm²

102. For a plot of land of 100m × 80m, the length to be raised by spreading the earth from stack of a rectangular base 10 m × 8 m and vertical section being a trapezium of height 2 m. The top of the stack is 8m × 5m. How many centimetres can the level raised? [2014 (I) Morning Shift]

Correct Answer: (d) 1.5 cm
Solution:Since, the stack is in the form having vertical cross section of trapezium.

103. A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm, respectively. What is the volume of the clay required for the tile? [2014 (I) Morning Shift]

Correct Answer: (d) None of these
Solution:Volume of clay required

104. The diameter of the base of a cone is 6 cm and its altitude is 4 cm. What is the approximate curved surface area of the cone? [2014 (I) Morning Shift]

Correct Answer: (b) 47 cm
Solution:Radius of cone = 6/2 = 3

105. A cylinder is surmounted by a cone at one end, a hemisphere at the other end. The common radius is 3.5 cm, the height of the cylinder is 6.5 cm and the total height of the structure is 12.8 cm. The volume V of the structure lies between [2014 (I) Morning Shift]

Correct Answer: (a) 370 cm³ and 380 cm³
Solution:Let common radius be r cm. Then, height of cylinder = h  and height of cone = h′

106. A swimming pool 70 m long, 44 m wide and 3 m deep is filled by water flowing from a pipe at the rate of 30800 cm³/s. The time taken to fill the swimming pool is [2014 (I) Morning Shift]

Correct Answer: (c) 250/3 h
Solution:Required time taken to fill the pool