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Solved CBSE Class 8 Maths Chapter 11 Assertion and Reason Questions – Mensuration. Here we (Net Explanations) working very hard to providing you with the Important Assertion Reason Questions for this Chapter.
Assertion and Reason Questions Class 8 Maths Chapter 11 Mensuration
1.) Assertion (A) –The area of a rectangle of length a and breadth b is ab
Reasons (R) –The area of a rectangle (A) is the product of its length ‘a’ and width or breadth ‘b’.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
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2.) Assertion (A) –The area of a square of side a is a*a.
Reasons (R) –The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
3.) Assertion (A) –The area of a triangle with base b and altitude h is 1/3 bh
Reasons (R) –The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
4.) Assertion (A) –The area of a parallelogram of base b and altitude h is bh
Reasons (R) –The formula to calculate the area of a parallelogram is given as Area of parallelogram = base × height square units.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
5.) Assertion (A) –The area of a circle of radius r is r*r
Reasons (R) –Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2,
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
6.) Assertion (A) –1 cm³ = 100 mm³
Reasons (R) –Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
7.) Assertion (A) –1 m³ = 1000000 cm³
Reasons (R) –Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
8.) Assertion (A) –1 mm³ = 0.001 cm³
Reasons (R) –Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
9.) Assertion (A) –1 cm³ = 0.01 m³
Reasons (R) –Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
10.) Assertion (A) –The surface area of a cuboid of length l, breadth b and height h is 2 (lb + bh + hl)
Reasons (R) –Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
11.) Assertion (A) –The surface area of a cube of edge a is 6a²
Reasons (R) –The surface area formula is a mathematical solution to find the total area of any three-dimensional object occupied by all of its surfaces
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
12.) Assertion (A) –The total surface area of a cylinder of base radius r and height h is 2πr (r + h)
Reasons (R) –The surface area formula is a mathematical solution to find the total area of any three-dimensional object occupied by all of its surfaces
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
13.) Assertion (A) –The volume of a cuboid of length l, breadth b and height h is lb+h
Reasons (R) –Volume of cuboid is the product of length, width and height.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
14.) Assertion (A) –The volume of a cube of edge a isa*a*a*a.
Reasons (R) –Volume of cube is equal to the cube of its side (all the sides are equal in length).
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
15.) Assertion (A) –The volume of a cylinder of base radius r and height h is πr²h
Reasons (R) –The volume of cylinder is the amount of space in it. It can be obtained by multiplying its base area by its height.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
16.) Assertion (A) –The perimeter of the figure is 14cm.
Reasons (R) –A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
17.) Assertion (A) –The area of the figure is16 cm²
Reasons (R) –Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
18.) Assertion (A) –The perimeter of the figure is 5 cm
Reasons (R) –A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
19.) Assertion (A) –The area of the figure is6 cm²
Reasons (R) –Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
20.) Assertion (A) –The area of a rhombus is 60 cm². One diagonal is 10 cm. The other diagonal is 12cm
Reasons (R) – Area of a rhombus = 1/2 × d1 d 1 × d2 d 2 , where d1 d 1 and d2 d 2 are diagonals of a rhombus
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
21.) Assertion (A) –The area of a trapezium is 40 cm². Its parallel sides are 12 cm and 8 cm. The distance between the parallel sides is 4cm
Reasons (R) –Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
22.) Assertion (A) –8 persons can stay in a cubical room. Each person requires 27 m³ of air. The side of the cube is 6cm.
Reasons (R) –The surface area of a cube can be represented as 6s^2, since a cube has six sides and the surface area of each side is represented by its length
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
23.) Assertion (A) –If the height of a cuboid becomes zero, it will take the shape of a square
Reasons (R) –a cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
24.) Assertion (A) –The volume of a room is 80 m³. The area of the floor is 20 m². The height of the room is 4m.
Reasons (R) –Volume is calculated by multiplying length x width x height
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
25.) Assertion (A) –The floor of a room is a square of side 6 m. Its height is 4 m. The volume of the room is 142 m³
Reasons (R) –Volume is calculated by multiplying length x width x height
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
26.) Assertion (A) –The base radius and height of a right circular cylinder are 14 cm and 5 cm respectively. Its curved surface is220 cm²
Reasons (R) –A curved surface is part of the surface of a cylinder of given radius, multiplied by its height.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
27.) Assertion (A) –The heights of two right circular cylinders are the same. Their volumes are respectively 16π m³ and 81π m³. The ratio of their base radii is 4:9
Reasons (R) –a ratio indicates how many times one number contains another
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
28.) Assertion (A) –The ratio of the radii of two right circular cylinders is 1: 2 and the ratio of their heights is 4 : 1. The ratio of their volumes is 1:1
Reasons (R) –a ratio indicates how many times one number contains another
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
29.) Assertion (A) –A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water is 36 cm³
Reasons (R) –Volume is calculated by multiplying length x width x height
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
30.) Assertion (A) –The base area of a right circular cylinder is 16K cm³. Its height is 5 cm. Its curved surface area is 40π cm²
Reasons (R) –A curved surface is part of the surface of a cylinder of given radius, multiplied by its height
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Answers:
1:a 2:a 3:d 4:a 5:a 6:d
7:a 8:a 9:d 10:b 11:a 12:a
13:d 14:d 15:a 16:a 17:d 18:d
19:a 20:a 21:a 22:b 23:d 24:b
25:d 26:d 27:a 28:a 29:d 30:a
Good question of maths of class 8
Good question ,I like it and my all answers were correct !
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