A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The to

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Question
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Options
A. 49
B. 50
C. 53.5
D. 55

Correct Answer

49

Explanation

Area of the wet surface = [2(lb + bh + lh) - lb]

= 2(bh + lh) + lb

= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] $m^{2}$

= 49 $m^{2}$

Volume and Surface Area problems

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2. A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.
Options
A. 30
B. 40
C. 10
D. 20

3. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
Options
A. 12 pi cub.cm
B. 15 pi cub.cm
C. 16 pi cub.cm
D. 20 pi cub.cm

4. How many cubes of 3cm edge can be cut out of a cube of 18cm edge
Options
A. 36
B. 232
C. 216
D. 484

5. If each edge of a cube is increased by 50%, find the percentage increase in Its surface area
Options
A. 125%
B. 150%
C. 175%
D. 110%

6. How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m
Options
A. 5600
B. 600
C. 6400
D. 7200

7. How many cubes of 10cm edge can be put in a cubical box of 1m edge
Options
A. 10
B. 100
C. 1000
D. 10000

8. The surface area of a cube is 1734 sq. cm. Find its volume
Options
A. 2334 cubic.cm
B. 3356 cubic.cm
C. 4913 cubic.cm
D. 3478 cubic.cm

9. The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
Options
A. 40cm
B. 30cm
C. 20cm
D. 10cm

10. The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:
Options
A. 9 cm
B. 18 cm
C. 20 cm
D. 41 cm

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