CBSE Class 9 Maths Surface Areas and Volumes MCQs Set B

Question. A square garden measuring 8 m on a side is surrounded by a 1 m wide path. What is the area of the path? 

(A) 8 square m
(B) 9 square m
(C) 28 square m
(D) 36 square m

Answer: D

Question. In the figure below, LMNO and GHJK are rectangles where GH = 1/2 LM and HJ = 1/2 MN. What fraction of the region is bounded by LMNO that is not shaded ? 

(A) 1/4
(B) 1/3
(C) 1/2
(D) 3/4

Answer: D

Question. Each side of cube is increased by 50%. Then the surface area of the cube increase by
(A) 50 %
(B) 100 %
(C) 125 %
(D) 150 %

Answer: C

Question. In the figure below, RSTV is a square inscribed in a circle with centre O and radius r. The total area of shaded region is 

(A) r²(π – 2)
(B) 2r²(2 – π)
(C) π(r² – 2)
(D) 8r² – 8r

Answer: A

Question. The length of diagonal of a square whose area is 16900 m² is
(A) 130 m
(B) 130 2 m
(C) 169 m
(D) 144 m

Answer: B

Question. The dimensions of a hall are 40 m, 25 m and 20 m. If each person requires 200 cubic meter, then the number of persons who can be accommodated in the hall are
(A) 120
(B) 150
(C) 140
(D) 100

Answer: D

Question. What is the ratio of the perimeter of the shaded region to the circumference of the circle ?

(A) 3/4
(B) 4+π/4π
(C) 2π/4+π
(D) 4+π/2π

Answer: B

Question. The volume of a cube is 512 cm³. Its surface area is
(A) 64 cm²
(B) 256 cm²
(C) 384 cm²
(D) 512 cm²

Answer: C

Question. In rectangle ABCD, if BC/BE = CD/DF = √3 . If BE = 6 cm and AF = 2 cm, which of the following integers is nearest to the area of the rectangle ABCD in sq. cm. ? 

(A) 130
(B) 150
(C) 170
(D) 190

Answer: B

Question. In an n sides regular polygon the radius of the circum-circle is equal in length to the shortest diagonal, then n is
(A) 6
(B) 8
(C) 12
(D) Such a polygon does not exist

Answer: C

Question. The sum of sides of cube and rectangular parallelopiped are same. The ratio of volume of cube to that of parallelopied is
(A) 1
(B) Less than 1
(C) Greater than 1
(D) None of these

Answer: C

Question. The area of a rhombus is 120 cm2 and its altitude is 10 cm. The length of the rhombus is
(A) 24 cm
(B) 12 cm
(C) 8 cm
(D) 4 cm

Answer: B

Question. A quadrilateral whose one diagonal is 5.5 cm. If the length of altitudes from opposite vertices on the diagonal is 2.5 cm and 1.5 cm, then the area of quadrilateral is
(A) 22 cm²
(B) 11 cm²
(C) 55 cm²
(D) 33 cm²

Answer: B

Question. Vertical and horizontal cross sections of a right circular cylinder are always respectively
(A) rectangle, square
(B) rectangle, circle
(C) square, circle
(D) rectangle, ellipse

Answer: B

Question. The surface area of the cube given, is 

(A) 3.375 cm²
(B) 13.5 cm²
(C) 6.75 cm²
(D) 9 cm²

Answer: B

Question. Bases of four equilateral triangles form a square. Inside the square four circle of radius 5 units are drawn as in the figure. The perimeter of the four cornered star is 

(A) 100
(B) 120
(C) 160
(D) 200

Answer: C

Question. The diameter of the circle in the picture is 10 cm. The perimeter of the region marked in thick line in cms is 

(A) 12
(B) 16
(C) 20
(D) 24

Answer: C

Question. The diagonal of a isosceles trapezium is 16 cm long and marks an angle of 45° 

(A) 64 cm²
(B) 96 cm²
(C) 128 cm²
(D) 256 cm²

Answer: C 

Question. The radius of a cylinder is doubled but its lateral surface area of unchanged. The its height must be
(A) Doubled
(B) Halved
(C) Trebled
(D) Constant

Answer: B

Question. The perimeter of a trapezium is 52 cm and its non-parallel sides are each equal to 10 cm and its altitude is 8 cm. Its area is
(A) 128 cm²
(B) 112 cm²
(C) 118 cm²
(D) 124 cm²

Answer: A

Question. Total area of quadrilateral ABCD is 20 cm² and offsets on BD are 2 cm and 3 cm. The length of BD is

(A) 5 cm
(B) 6 cm
(C) 8 cm
(D) 10 cm

Answer: C

Question. How many small cubes with edges of 10 cm can be just accommodated in a cubical box of 1 m edge?
(A) 10
(B) 100
(C) 1000
(D) 10000

Answer: C

Question. The largest possible square is inscribed in a circle of unit radius. The area of the square in square units is 
(A) 2
(B) π
(C) 2 √2π
(D) 4 √2π

Answer: A

Question. In this scale drawing of a molding, each square represents 1 square inch. What is the area of the molding?

(A) 24 sq. in
(B) 34 sq. in
(C) 35 sq. in
(D) 37 sq. in

Answer: D

Question. The given figure below shows a square inscribed in a larger square. What is the area of the smaller square ? 

(A) 9 square units
(B) 16 square units
(C) 25 square units
(D) 36 square units

Answer: C