NAME:                                        GRADE: VIII
SUBJECT: Mathematics                         SEC: J/ K
TOPIC: Mensuration[revision worksheet]       DATE: 1/3/22
Write all the formulae from the chapter Mensuration and then answer the following
problems.
 1        Write the formula to find the area of a parallelogram.
 2        Find the lateral surface area of a cube of edge 8 cm.
 3        1 Litre = …………. Cubic.cm                  1 cubic meter = ………….. Litres
 4        The parallel sides of a trapezium are 12 m. and 8 m. and the distance between
          them is 6m. Find the area of the trapezium.
 5        A cuboidal wooden block contains 144 cu cm. of wood. If it is 6 cm. long and 3
          cm. wide, find its height.
 6        The height of a cylinder is 15 cm. and curved surface area is 660 sq.mt. Find the
          radius of the cylinder.
 7        The total surface area of a cube is 96 m2 . Find its volume.
 8        The diagonals of a rhombus are of length 16 cm. and 30 cm. Find its area.
 9        The area of a trapezium is 700 sq.cm and the distance between the parallel
          sides is 8 cm. Find the length of the parallel sides if the parallel sides are in the
          ratio 3:4
 10       Three cubes, each of edge 2 cm. long are placed together. Find the total surface
          area of the cuboid so formed.
 11       The diameter of a road roller, 1m 40cm long is 80cm. If it takes 600 revolutions
          to level a playground, find the cost of levelling the ground at Rs. 3 per sq.m
 12       A rectangular sheet of aluminium foil is 44 cm. long and 20 cm. wide. A cylinder
          is made out of it, by rolling the foil along width. Find the volume of the cylinder.
 13       The perimeter of the floor of a hall is 250 m. If the height is 4 m, find the cost of
          painting the four walls at the rate of Rs. 12 per square mt
 14       A swimming pool is 20 m long, 15m wide and 3m deep. Find the cost of
          repairing the floor and wall at the rate of Rs25 per square metre.
 15       Find the capacity of water tank, in litres, whose dimensions are 4.2m, 3m and
          1.8m
 16       Two cylinder cans have bases of the same size. The diameter of each is
          14cm.One of the cans is 10cm high and the other is 20 cm high. Find the ratio of
          their volume.
 17       The capacity of a closed cylindrical vessel of height 1m is 15.4L. How many
          square metres of metal sheet would be needed to make it?
 18       Can a polyhedron have 12 faces, 15 edges and 20 vertices? Explain.
 19       Verify Euler’s formula:
20   Draw the front, side and top view of the solid given.
     List the FORMULAE[Mensuration]: