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Volume and Surface Area Questions with Answers

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Q :  

The area of triangle is half the area of square. The perimeter of the square is 224 cm. What is the area of triangle?

(A) 1856 cm2

(B) 1658 cm2

(C) 1558 cm2

(D) 1586 cm2

(E) None of these

Correct Answer : E
Explanation :
given 4a=224,

a=56, so that Area of square is=a2=56*56
so that Area of Triangle is a2/2=1568


Q :  

What is the total surface area and curved surface area of a solid semi circle with radius of 14 cm?

(A)

(B)

(C)

(D)

Correct Answer : B

Q :  

What is the volume of a cube whose side is 7.5 cm?

(A) 421.875 cm3

(B) 759.375 cm3

(C) 631.81 cm3

(D) 210.94 cm3

Correct Answer : A

Q :  

The volume of a sphere and an elliptical cylinder are the same. The radius of the sphere and cylinder are 21 cm and 14 cm respectively. What is the height of the cylinder?

(A) 63 cm

(B) 56 cm

(C) 42 cm

(D) 49 cm

Correct Answer : A

Q :  

The total surface area of a cube is 864 square cm. What is his volume?

(A) 216

(B) 1728

(C) 729

(D) 512

Correct Answer : B

Q :  

The area of trapezium is 21 square cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side ?

(A) 12.7 cm

(B) 7.7 cm

(C) 10.7 cm

(D) 5.7 cm

Correct Answer : D

Q :  

Diameter of a cycle wheel is 14 cm. A cyclist takes 30 minutes to reach a destination at a speed at 11 km/h. How many revolutions will the wheel make during the journey?

(A) 12500

(B) 15000

(C) 17750

(D) 20000

Correct Answer : A

Q :  

The cost of fencing a circular plot at the rate of Rs.15 per meters Rs. 3,300. What will be the cost of flooring the plot at the rate a Rs . 100 per square meter? 

(A) Rs. 3,85,000

(B) Rs. 2,20,000

(C) Rs. 3,50,000

(D) Cannot be determined

(E) None of these

Correct Answer : A

Q :  

In the given figure, two squares shown in the figure have the arm of 12 cm and 8 cm. then find out the area of shaded part?

(A) 19.2

(B) 18.3

(C) 19.6

(D) 19.8

Correct Answer : A

Q :  

PQRS is a parallelogram, Angle SPQ=60 Degree, QR=40 cm and PQ=10 cm, then find the area of the parallelogram.

(A) 100√3 sq.cm

(B) 200√3 sq.cm

(C) 100 sq.cm

(D) 500 sq.cm

Correct Answer : B

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