Solution of Chapter 11. Mensuration (NCERT - Exemplar Mathematics Book)

A cube of 5cm is painted on all its faces. If it is sliced into 1 cubic centimeter cubes, how many one centimeter cubes will have exactly one of their faces painted?

A cube of side 4cm is cut into 1cm cubes. What is the ratio of the surface areas of the original cubes and the cut-out cubes?

A circle of maximum possible is cut from a square sheet of board. Subsequently, a square of maximum possible size is cut from the resultant circle. What will be the area of final square?

What is the area of the largest triangle that can be fitted into a rectangle of length l units and width w units?

If the height of a cylinder becomes of the original height and the radius is doubled, then which of the following will be true?

If the height of a cylinder becomes of the original height and the radius is doubled, then which of the following is true?

If the height of a cylinder becomes of the original height and the radius is doubled, then which of the following is true?

The surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm² respectively. The volume of the cuboid is

A regular hexagon is inscribed in a circle of radius r . The perimeter of the regular hexagon is

The dimension of the godown are 40m, 25m, and 10 m respectively. It is filled with cuboidal boxes each of dimension 2m1.25m1m then,the number of boxes will be,

The volume of cube is 64cm³. It's surface area is

If the radius of the cylinder is tripled but its curved surface area is unchanged, then its height will be

How many small cubes with edge cubes of 20cm each can be just accommodated in a cubical box of 2m edge?

The volume of a cylinder whose radius r is equal to its height is

The volume of a cube whose edge is 3x is

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

What is the area of the rhombus ABCD below if AC = 6cm, and BE = 4cm?

The area of parallelogram is 60cm² and one of its altitude is 5cm. The length of its corresponding side is

The perimeter of a trapezium is 52cm and its each non-parallel side is equal to 10cm with its height 8cm. Its area is

Area of a quadrilateral ABCD is 20cm² and perpendiculars on BD from opposite vertices are 1cm and 1.5cm. The length of BD is

A metal sheet 27cm long, 8cm broad and 1cm thick is melted into a cube. The side of the cube is

Three cubes of a metal whose edges are 6cm, 8cm, and 10cm respectively are melted to form a single cube. The edge of the new cube is

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

The ratio of the radii of two cylinders is 1:2 and heights are in the ratio 2:3. The ratio of their volume is

Two cubes have volumes in the ratio is 1:64. The ratio of the area of the face of the first cube to that of the order is

The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 square centimeter is

Ramesh has three containers.

A) Cylindrical container A having radius r and height h

B) cylindrical container B having radius 2r and height 1/2 h, and

C) cuboidal container C having dimensions r r r

The arrangements of the containers in the increasing order of their volume is

If R is the radius of the base of the hate, then the total outer surface area of the hat is

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A cube of side 4cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes will have exactly two of their faces painted is __________.

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A cube of 5cm is cut into 1cm cubes. The percentage increase in volume after such cutting is _______.

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The surface area of the cuboid formed by joining two cubes of side a face to face is ________.

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If the diagonals of the rhombus get doubled, then the area of the rhombus becomes ________ its original area.

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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 ________.

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The volume of a cylinder becomes ________ the original volume, if the radius becomes half of the original radius.

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The curved surface area of the cylinder is reduced by _______ percent, if the height is half of the original height.

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The volume of a cylinder which exactly fits in a cube of side a is _________.

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The surface area of the cylinder which exactly fits in a cube of sides a is ________.

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If the diagonal d of the quadrilateral is doubled and the heights h₁ and h₂ is falling on d are halved, then the area of quadrilateral is _________.

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The perimeter of the rectangle becomes _______ times of its original perimeter, if its length and breadth are doubled.

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A trapezium with three equal sides and side double the equal side can be divided into ________ equilateral triangles of ______ area.

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All six faces of a cuboid are ________ in shape and of _______ area.

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Opposites faces of a cuboid are ________ in area.

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Curved surface area of the cylinder of radius h and height r is ________.

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Total surface area of a cylinder of radius h and height r is _________.

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Volume of a cylinder with radius h and heigth r is __________.

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Area of rhombus = product of _________.

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Two cylinder A and B are formed by folding a rectangular sheets of dimensions 20cm 10cm along its length and also along its breadth respectively. Then volume of A is __________ of volume of B.

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In the above question, curved surface area of A is ________ curved surface of B.

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_________ of a solid is the measurements of the space occupied by it.

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_________ surface area of room = Area of 4 walls.

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Two cylinders of equal volume have heights in the ratio 1:9. The ratio of their radii is ________.

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Two cylinders of same volume have their radii in the ratio 1:6, then ratio of their height is ________.