WORKSHEET
2016 -2017
STD: 8th A& B
Sub: Maths
Mensuration
Q.1. A room is 9m long, 8m broad and 6.5m high. It has one door 3m x 1.5m and
three windows each of dimensions 1.5m and 1m. Find the cost of white
washing the walls at Rs.3.75m2.
Ans: Rs.795.
Q.2. The base of the triangular field is 3 times the altitude. If the cost of
cultivating the field at Rs. 246.80 per hectare is Rs.3331.80. Find its base
and height.
Ans: h=3 b= 9.
Q.3. A room is 7m long and 5m broad. It has one door measuring 2m by 1.5m
and two windows each measure 1.5m by 1m. The cost of painting the walls
at Rs.7.50 per sq.m is Rs. 495. Find the height of the room.
Ans: h=3m
Q.4. Find the area of a rhombus having each side equal to 15cm and one whose
Diagonal is 24cm.
Ans: 216
Q.5
The parallel side of a trapezium are 25cm and 13cm. Its non parallel sides
are equal, each being 10cm. Find the area of trapezium.
Ans:152
Q.6. The area of trapezium is 91cm2 and its height is 7cm.If one of the parallel
side is larger than the other by 8cm. Find the two parallel sides. Ans: 9,17
Q.7. In the figure, AB is parallel to DC and DA is perpendicular to AB. Further
DC=7cm, CB=10cm and AB=13cm. Find the area of the quardrilateral ABCD.
Ans: 80
D
A
C
B
Q.8. The parallel sides of a trapezium are in the ratio 2:5 and the distance
between the parallel sides is 10cm. If the area of the trapezium is 350cm2.
Find the lengths of its parallel sides.
Ans: 20,50
Q.9. Find the area of a rhombus whose one side is 13cm and one diagonal is
24cm.
Ans:120
Q.10. A rectangular piece of paper 22cm long and 12cm broad is rolled along its
Length to form a cylinder. Find the volume of the cylinder so formed.
Ans: 462
Q.11. The area of the base of the cylinder is 154sq.cm and its height is 15cm.
Find its volume of cylinder.
Q.12.
Ans: 2310
Find the volume, if the total surface area and lateral surface area of a
cuboid is 8m long, 6m broad and 3.5m high. Ans: LSA=98
Q.13.
TSA=194
Find the volume of the cube whose total surface area is 486 sq.cm.
Ans: 729
Q.14.
How many bricks will be required for a wall 8m long, 6m high and
22.5cm thick, if each brick measures 25cm x 11.25cm x 6cm. Ans: 6400
Q.15.
The volume of the right circular cylinder is 448 cubic cm and height 7cm.
Find its lateral surface area and total surface area.
Ans: LSA- 352,
TSA- 754.28
Q.16.
A powder is available in two packs a tin can with a square base of each
Side 5cm and having a height 12cm or one with circular base of radius
3.5cm and having height 10cm? Which of them has greater capacity and
by how much?
Q.17.
Ans: 385
The height of a cylinder is 6cm. Three times the sum of the areas of the
two circular face is twice the area of its curved surface. Find the radius
of its base.
Ans: r=4cm.
IMO questions.
1)
The area of trapezium is 28cm2 and one of its parallel side is 6cm. If its
Altitude is 4cm then its other parallel side is ______.
2)
The length of the side of a square whose area is 16900m2, is _________.
3)
The number of surfaces in a right circular cylinder is _____
4)
A child walked 5m to cross a rectangular field diagonally. If breadth of
field is 3m, its length is_____.