Q.1.

Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.

Q.2.

A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be

Q.3.

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is

Q.4.

There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes

Q.5.

The capacity of a tank of dimensions (8m x 6m x 2.5m)is

Q.6.

A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:

Q.7.

In the figure AMB = 130°, then what is the value (in deg) of ABQ?

 

Q.8.

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

Q.9.

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ?

Q.10.

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:

Q.11.

Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?

Q.12.

A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

Q.13.

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

Q.14.

If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ?

Q.15.

The diagonal of a cube is 63 cm. Find its  surface area

Q.16.

The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size? 

Q.17.

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:

Q.18.

How many cubes of 10cm edge can be put in a cubical box of 1m edge

Q.19.

The diagonal of a rectangle is sqrt(41) cm.  and its area is 20 sq. cm. The perimeter of the rectangle must be:

Q.20.

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:

Q.21.

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

Q.22.

How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m

Q.23.

The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface

Q.24.

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

Q.25.

Ratio between heights of two cylinder in the ratio 3:Their volumes are in the ratio 27:Find ratio between their radius ?