Teacher's Resources

18. Mensuration-II (Solid Figures)

Click the correct answer (True & False).

The six faces of a cube are squares of the same size.

True

False

If the length of an edge of a cubical mug is 10 cm, then the capacity of the mug will be 1 L.

True

False

A hollow cylinder has a curved lateral surface with congruent circular ends.

True

False

When the ratio of the volumes of two cubes is 8 : 27, the ratio of their surface areas will also be 8 : 27.

True

False

The axis of a right circular cylinder is always perpendicular to the circular ends.

True

False

The surface area of a cuboid formed by joining face to face 3 cubes is 3 times the surface area of each cube.

True

False

The area of four walls of a cuboidal room can be calculated by the formula 2(lb + bh + hl).

True

False

The volume of a cuboid refers to the volume of the cuboidal region.

True

False

Click the correct answer.

What is the volume of a cube of edge 3x?

27x²

18x²

18x³

27x³

What is the maximum length of a rod that can be kept in a cuboidal box of dimension 12 cm × 9 cm × 8 cm?

17 cm

19 cm

18 cm

13 cm

What is the lateral surface area of a cuboid of dimension 11 cm × 8 cm × 5 cm?

19 cm³

190 cm²

366 cm³

366 cm²

What is the sum of the areas of all six faces of a cuboid called?

Volume

Surface area

Lateral surface area

Diagonal

The volume of an oil tank is 4 m³. What is its volume in litres?

40,000 litres

4,000 litres

400 litres

40 litres

What is the surface area of an open box whose length, breadth and height are l, b and h respectively?

2(lb + bh) + hl

2(bh + hl) + lb

2(lb + bh + hl)

2(lb + hl) + bh

A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. What is the volume of the wood?

85,000 cm³

80,000 cm³

82,125 cm³

84,000 cm³

Click the correct answer.

The occupied by a solid is called its space region.

space

weight

area

1 kL = m3

100

A solid bound by two co-axial cylinders of the same height and different radii is called a cylinder.

hollow

double

single axial

1 kL = cm3

10,00,000

1,000

11,00,000

The volume of a cuboid of dimension 8 m × 6 m × 3 m is .

144 m³

180 m³

148 m³

Two cylinders of the same volume have their radii in the ratio 1 : 6. The ratio of their heights is .

36 : 1

6 : 1

12 : 1

If a cube fits exactly in a cylinder with height h, then the volume of the cube is and surface area of the cube is 6h2.

h³

2h³

4h²

The size of the space region of a body is called its .

volume

space region

area

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