If the height of a cylinder becomes\(\frac { 1 }{ 4 } \)of the original height and the radius is doubled, then which of the following will be true?

1

(a)

Volume of the cylinder will be doubled

(b)

Volume of the cylinder will remain unchanged

(c)

Volume of the cylinder will be halved

(d)

Volume of the cylinder will be\(\frac { 1 }{ 4 } \)of the original volume

Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively, are melted to form a single cube. The edge of the new cube is

1

(a)

6 cm

(b)

12 cm

(c)

8 cm

(d)

18 cm

The surface area of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 sq cm. The volume of the solid (in cm) is

1

(a)

192

(b)

480

(c)

384

(d)

2592

Which of the following is equal to kilolitre?

1

(a)

1000 millilitres

(b)

100 dm³

(c)

1 dm³

(d)

1000 dm³

Surface area of four walls of a room whose length, breadth and height are respectively the

1

(a)

2 [Ih + bh + hi]

(b)

2 [Ib + hl]

(c)

2 [Ib + bh]

(d)

2 [bh + hl]

Volume of a cylinder with radius r and height h is_____ 

1

(a)

V= \(\pi\)r²h

Opposite faces of a cuboid are_____ in area

1

(a)

Equal

All six faces of a cuboid are_____in shape and of____area.

1

(a)

Rectangular, different

Two cubes have volumes in the ratio 1: 64. The ratio of the area of a face of first cube to that of the other is______

1

(a)

1:16

Find Shape,Area?

1

(a)

Square ;\(a\times a=a^2\)

The areas of any two faces of a cuboid are equal

1

(a) True

(b) False

The area of trapezium becomes 4 times if its height gets doubled.

1

(a) True

(b) False

Two cuboids with equal volumes will always have equal surface areas.

1

(a) True

(b) False

Volumes of a solid is the measurement of the space occupied by it.

1

(a) False

(b) True

Two cylinders of same volume have their radii in the ratio 1 : 6, then ratio of their heights is 216 :1.

1

(a) True

(b) False

Is the volume of a cuboid equal to the product of the base area and height?

2

(a)

Yes

Find the area of the following figure

2

(a)

The area of trapezium is 450 m², the distance between two parallel sides is 10m and one of the parallel side 15 m. Find the other parallel side.The perimeters of two squares are 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller square?

2

(a)

The area of a trapezium with equal non-parallel sides is 168m², If the lengths of the parallel sides are 36 m and 20 m, find the length of the non-parallel sides.

2

(a)

Find the volume of the following cube: with a side of 4 cm

2

(a)

Find the volume and surface area of a cuboid 18 m long 14 m broad and 7 m high.

5

(a)

A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container(as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label?

5

(a)

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

5

(a)

The area of a rhombus and that of a square are equal. The side of the square is 6 cm. If one of the diagonal of the rhombus is 4 cm, then find the length of its other diagonal.

5

(a)

cuboid is of dimensions 50 cm x 45 cm x 30 cm. How many small cubes with sides 5 cm can be places in the given cuboid?

5

(a)