Mensuration MCQs for Competitive Examination
Solve the following problems.
Q. 41
Find the total surface area (in cm²) of a cube of side 7.5 cm.
(A)364.5
(B) 446
(C) 337.5
(D) 684
Answer: (C) 337.5
Explanation:
Q. 42
The area and the length of one of the diagonals of a rhombus is 84 cm² and 7 cm respectively. Find the length of its other diagonal (in cm).
(A) 12
(B) 24
(C) 48
(D) 36
Answer: (B) 24
Explanation:
Q. 43
Find the perimeter (in cm) of a semicircle of radius 28 cm.
(A) 288
(B) 144
(C) 121
(D) 242
Answer: (B) 144
Explanation: Perimeter of a semicircle = (πr+2r)
Q. 44
Find the curved surface area (in cm²) of a hemisphere of diameter 28 cm.
(A) 1152
(B) 1024
(C) 956
(D) 1232
Answer: (D) 1232
Explanation:
Q. 45
The surface area of a sphere is 5544 cm². Find its diameter (in cm).
(A) 42
(B) 21
(C) 84
(D) 63
Answer: (A) 42
Explanation:
Q. 46
The area of a semicircle is 1925 cm². Calculate its perimeter (in cm).
(A) 360
(B) 80
(C) 160
(D) 180
Answer: (D) 180
Explanation:
Q. 47
The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in cm²)
(A) 60
(B) 240
(C) 120
(D) 180
Answer: (C) 120
Explanation:
Q. 48
Find the volume (in cm³) of a right circular cylinder of diameter 21 cm and height 10 cm.
(A) 3118
(B) 3275
(C) 3621
(D) 3465
Answer: (D) 3465
Explanation:
Q. 49
The area of a circular cricket ground is 24.64 hectares. Find the cost of making rope boundary at the rate of Rs. 5.40 per metre.
(A) Rs. 9,600
(B) Rs. 9,504
(C) Rs. 9,802
(D) Rs. 9,876
Answer: (B) Rs. 9,504
Explanation: (1 hectare = 10000 sq m)
Q. 50
The curved surface area and the slant height of a right circular cone are 99 cm² and 9 cm respectively. Find its diameter (in cm).
(A) 3.5
(B) 7
(C) 14
(D) 10.5
Answer: (B) 7
Explanation: Curved Surface Area of a right circular cone = πrl
Q. 51
What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 120 cm² and 8 cm respectively?
(A) 34
(B) 17
(C) 15
(D) 30
Answer: (B) 17
Explanation:
Q. 52
Find the volume (in cm3) of a hemisphere of diameter 21 cm
(A) 235.5
(B) 2425.5
(C) 2040
(D) 1860
Answer: (B) 2425.5
Explanation;
Q. 53
In a triangle ABC, PQ is a straight line parallel to AC, such that Area ABC : Area PBQ = 3 : 1 Then CB : CQ is equal to
(A) (√3/2) (√3 + 1)
(B) (√3 – 2)/2
(C) (√3/2) (√3 – 1)
(D) √3/2
Answer: (A) (√3/2) (√3 + 1)
Explanation:
Q. 54
The perimeter of a rhombus is 240 m and the distance between any two parallel sides is 20 m. The area of the rhombus in sq m is
(A) 600
(B) 1200
(C) 2400
(D) 4800
Answer: (B) 1200
Explanation: Area of rhombus = (side)(height) = 60*20 = 1200
Q. 55
Find the total surface area (in cm²) of a right circular cylinder of diameter 42 cm and height 14 cm.
(A) 4488
(B) 4250
(C) 4010
(D) 4620
Answer: (D) 4620
Explanation:
Q. 56
What is the curved surface area (in cm²) of a hemisphere of diameter 42 cm?
(A) 2332
(B) 1778
(C) 1556
(D) 2772
Answer: (D) 2772
Explanation:
Q. 57
The volume of a hemisphere is 19404 cm³. Find its diameter (in cm).
(A) 42
(B) 21
(C) 84
(D) 63
Answer: (A) 42
Explanation:
Q. 58
The area of a square is 40.5 cm². Find the length of its diagonal (in cm).
(A) 9
(B) 4.5
(C) 18
(D) 13.5
Answer: (A) 9
Explanation:
Q. 59
The total surface area of a hemisphere is 462 cm². Find its diameter (in cm)
(A) 7
(B) 28
(C) 21
(D) 14
Answer: (D) 14
Explanation:
Q. 60
The total surface area of a cube is 181.5 cm². Find its side (in cm)
(A) 6.5
(B) 4.5
(C) 7.5
(D) 5.5
Answer: (D) 5.5
Explanation: