A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of their faces painted?

1

(a)

27

(b)

42

(c)

54

(d)

142

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 ratio of radii of two cylinders is 1: 2 and heights are in the ratio 2 : 3. The ratio of their volumes is

1

(a)

1:6

(b)

2:9

(c)

1:3

(d)

1:9

Radius of a circle is 7cm. Its perimeter

1

(a)

44 cm

(b)

36 cm

(c)

58 cm

(d)

154 cm

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]

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

A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after each such cutting is ____

1

(a)

None

The surface area of a cuboid formed by joining two cubes of sides c face to face is_______

1

(a)

10 c²

1 cm³= 1 cm x 1 cm x 1 cm = ... mm³

1

(a)

100

Find Shape, Area?

1

(a)

Triangle;\(\frac{1}{2}\times b\times h\)

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

The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?

2

(a)

The ratio of the length and breadth of a rectangle is 5 : 3. If length is 8 m more than breadth, then find the area of the rectangle.

2

(a)

The diagonals of two squares are in the ratio 3 : 2. Find the ratio of their areas.

2

(a)

Find the area of the following trapezium

2

(a)

Find the area of these quadrilateral

2

(a)

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonal is 8 cm long, find the length of the other diagonal.

3

(a)

Two cubes each with side b are joined to form a cuboid (see the figure) .What is the surface area of this cuboid? Is it 12b²? Is the surface area of cuboid formed by joining three such cubes, 18b²? Why?

3

(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?

3

(a)

160m³ of water is to be used to irrigate a rectangular field, whose area is 800 m². What will be the height of the water level in the field?

3

(a)

Find the area of a rhombus whose one side measures 5 cm and one diagonal as 8 cm.

3

(a)

Match the following figures with their respective areas in the box

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)