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

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

r and h are respectively radius and height of a cylinder. its total surface area is:

1

(a)

\(\pi r(r+h)\)

(b)

\(2\pi r(r+h)\)

(c)

\(2\pi h(r+h)\)

(d)

\(\pi h(r+h)\)

The diagram

has the shape of a

1

(a)

rectangle

(b)

square

(c)

parallelogram

(d)

circle

1 cm³ = 

1

(a)

1000 mm³

(b)

100 mm³

(c)

10 mm³

(d)

\(\frac { 1 }{ 1000 } \)mm³

1 L =

1

(a)

10 cm³

(b)

100 cm³

(c)

1000 cm³

(d)

10000 cm³

The volume of a room is 80 m². The area of the floor is 20 m² . The height of the room is

1

(a)

1 m

(b)

2 m

(c)

3 m

(d)

4 m

All six faces of a cuboid are_____in shape and of____area.

1

(a)

Rectangular, different

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

Find Shape, Area?

1

(a)

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

The lateral surface area of a cuboid whose length is 5 m, breadth is 4 m and height is 2 m, is 36 m².

1

(a) False

(b) True

The areas of any two faces of a cuboid are equal

1

(a) True

(b) False

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

What is the total surface area of a cube whose volume is 1 cu. cm?

1

(a)

6cm²

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

1

(a)

Yes

Find the area of the following figure

2

(a)

Parallelogram is divided into two congruent triangles by drawing a diagonal across it. Can we divide a trapezium into two congruent triangles?

2

(a)

Rukhsar painted the outside of the cabinet of measure 1m\(\times\)2m\(\times\)1.5m. How much surface area did she cover, if she painted all except the bottom of the cabinet?

2

(a)

A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder \((Take\ \pi=\frac{22}{7})\)

2

(a)

Can you think of such objects whose volume can be found by using this method?

2

(a)

Nazma's sister also has a trapezium shaped plot. Divide it into three parts as shown in the figure. Show that the area of trapezium WXYZ = \(h\frac { (a+b) }{ 2 } \)

3

(a)

Find the height of the cylinder whose volume is 1.54 m³ and diameter of the ball is 140 cm.

3

(a)

Find the area of the quadrilateral LMNO (as shown in the figure).

3

(a)

Find the area of the following quadrilateral.

3

(a)

1 cubic cm
= 1 cm x 1 cm x 1cm
= 1 cm³
= 10mm x 10mm x 10m
= ............mm³
1 cubic m = 1 m x 1 m x 1 m = 1 m³
=........ cm³
1 cubic mm= 1 mm x 1 mm x 1 mm
= 1rnm3
= 0.1 cm x 0.1 cm x 0.1 cm
= ........ cm³

3

(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)

A company sells biscuits. For packing purpose, they are using cuboidal boxes: box A⟶ 3 cm\(\times\) 8 cm\(\times\)20 cm and box B ⟶ 4 cm\(\times\)12 cm\(\times\)10 cm. What size of the box will be economical for the company? Why? Can you suggest any other size (dimensions) which has the same volume but is more economical than these?

5

(a)