Important Questions of Area and Volume Mathematics | Zigya

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21.

The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm and its altitude is 16 cm. The area (in cm) of the trapezium is

  • 1024

  • 640

  • 512

  • 320


22.

If each edge of a solid cube is increased by 150%, the percentage increase in the surface area is

  • 525

  • 225

  • 625

  • 150


23.

The internal base of a rectangular box is 15 cm long and 1212 cm wide and its 2 height is 7 cm. The box is filled with 2 cubes each of side 212 cm. The number of 2 cubes will be

  • 90

  • 120

  • 45

  • 60


24.

The perimeter of a trapezium is 58 cm and sum of its non-parallel sides is 20 cm. If its area is 152 cm, then the distance between the parallel sides (in cm) is

  • 9.8

  • 15.2

  • 6

  • 8


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25.

The value of - 23003 × 52903 is

  • - 270

  • 230

  • - 230

  • - 529


26.

It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m. The radius of the new park would be

  • 10m

  • 15m

  • 20m

  • 24m


27.

An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone ( in cm3) is

  • 16πr3

  • 112πr3

  • 13πr3

  • 23πr3


28.

Two adjacent sides ofa parallelogram are 74 cm and 40 cm. If one of its diagonals is 102 cm, then area of the parallelogram is

  • 618 sq.cm

  • 1224 sq.cm

  • 2448 sq.cm

  • 1242 sq.cm


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29.

solid cylinder has total surface area of 462 sq. cm. If its curved surface area is one-third of its total surface area, then the volume of the cylinder will be

  • 639 cm3

  • 539 cm3

  • 439 cm3

  • 600 cm3


30.

A rectangular piece of paper 11 cm x 4 cm is folded without overlapping to make a cylinder of height 4 cm, then the volume of the cylinder will be

  • 37.5 cm3

  • 38.5 cm3

  • 35.8 cm3

  • 28.5 cm3


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