CBSE Class 8 Mathematics Mensuration Worksheet Set 04

Question, Two squares of area 64 sq cm and 36 sq cm are cut off from a larger square sheet as shown in the figure:
What is the PERIMETER of the remaining part of the sheet?

A. 32 cm
B. 42 cm
C. 44 cm
D. 96 cm

Answer : C

Question, Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out) ?

A. 12 cm
B. 13 cm
C. 14.25 cm
D. 17 cm

Answer : B

Question, A small circle is shaded inside a larger circle. 
If the area of the smaller circle is half the area of the larger, the ratio of the radius of the smaller circle to that of the larger circle is

A. 1/2
B. 1/4
C. 1/√2
D. π/√2

Answer : C

Question, What will be the area of the circle shown if the area of the shaded part is 5 sq. cm?

A. 25 sq cm
B. 60 sq cm
C. 25π sq cm
D. 150 sq cm

Answer : B

Question, PQRS is a square grid made of unit squares of side 1cm. 
I want to trace a path from P to Q along the lines of this grid WITHOUT TOUCHING THE SIDES OF ANY SHADED SQUARE. (Touching the corner of a shaded square is allowed).
What would be the MINIMUM distance covered in tracing such a path?

A. 4 cm
B. 8 cm
C. 12 cm
D. 14 cm

Answer : D

Question, What is the length of the longest stick that can be packed in the box of the dimensions shown below?

A. 90 cm
B. 70 cm
C. √2900 cm
D. √2400 cm

Answer : C

Question, Tiles identical to the one shown below are piled up one on top of another to form a tower of volume 1830 cm³. What is the height of the tower (in cm)?

A. 18.3 
B. 30.5
C. 183
D. Can not say unless the number of tiles used is given.

Answer : B

Question, Two runners X and Y have to race around the circular track shown below. 
For safety, runner X is asked to run along the inner circle and runner Y along the outer, which is 140 cm outside the inner one. 
If the race is of 4 laps (rounds) for runner X, how many metres ahead of him should runner Y start to make the race fair?

A. 1.4
B. 5.6
C. 8.3
D. 35.2

Answer : D

Question, The cuboid shown below is made of 3 unit cubes like the one to its left:
If the surface area of the cube is 18 sq cm, what is the surface area of the cuboid in sq cm?

A. 42
B. 48
C. 54
D. 81

Answer : D

Question, Hiralal has two wooden cubes of side 'a' cm each. He carves one of them into the LARGEST POSSIBLE CYLINDER and fixes the two solids together as shown below.
He now wants to cover this solid entirely with a coat of paint. Assuming pi = 3, the total area to  be painted (in cm2) will be close to

A. 8.75a²
B. 9a²
C. 5a²
D. 12a²

Answer : B

Question, In the figure, perimeter of LMQ is 24 cm, perimeter of OPQ is 14 cm and the perimeter of rectangle QMNO is 28 cm.
The perimeter of hexagon LMNOPQ (in cm) is

A. 66 cm
B. 39.3 cm
C. 38 cm
D. 19.7 cm

Answer : C

Question, Diameter NOL of the circle (with centre O) shown below is produced to P. 
ONM :  OML = 4 : 5.
The measure of  PLM is
 

A. 50°
B. 100° 
C. 130°
D. 140°

Answer : C

Question, The grid shown consists of unit squares. What is the perimeter of the figure shown on the grid?
 

A. 14.5 units
B. 15 units
C. 16 units
D. 20 units

Answer : C

Question, The circumference of the rim of a regular sized glass  would  be about
A. 22cm
B. 14cm
C. 10cm
D. 08cm

Answer : A

Question, The diameter of a regular sized cricket ball would be about
A. 4 cm
B. 7 cm
C. 10 cm
D. 13 cm

Answer : B

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1.Q 1 Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm.

2.Find the altitude of a trapezium, the sum of the lengths of whose bases is 6.5 cm and whose area is 26 cm2.

3.Find the height of a cuboid whose volume is 275 cm3 and base area is 25 cm2.

4.Find the area of a rhombus whose diagonals are of measurements 6 cm and 8 cm.

5.Find the volume of the cylinder whose base diameter is 14 cm and height is 10 cm.

6.Find the area of a triangle whose base is 4 cm and altitude is 6 cm.

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7.Find the total surface area of a cube whose volume is 343 cm3.

8.Find the side of a cube whose surface area is 2400 cm2.

9.How many bricks will be required for a wall which is 8 m long, 6m high and 22.5 cm thick, if each brick measures 25 cm 11.25 cm 6 cm?

10.The diameter of garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions?

11.Find the volume of a cuboid whose length is 8 cm, width is 3 cm and height is 5 cm.

12.A cylindrical tank has a capacity of 5632 m3. If the diameter of its base is 16 m, find its depth.

13.Find the volume of 64 cubes whose one side is 4 cm.

14.Find the volume of a cylinder whose base radius is 14 cm and height is 35 cm.

15.Find the area of a parallelogram whose measurements are given in the following figure.

16.Find the total surface area of a cylinder whose base radius is 8 cm and height is 14 cm.

17.Find the area of a rhombus whose diagonals are of lengths 20 cm and 16 cm.

18.Find the height of cuboid whose volume is 490 cm3 and base area is 35 cm2.

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19.The diagonal of a quadrilateral shaped field is 24 cm and perpendicular dropped on it from the remaining opposite vertices are 6 m and 12 m. Find the area of the field.

20.A godown is in the form of a cuboid of measures 60 m 40 m 20 m . How many cuboidal boxes can be stored in it if the volume of one box 0.8 m³?
 

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