Volume and Surface Area Practice Question and Answer
8 Q: From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is
1262 05f8016aa0a69ab3becc7d2bf
5f8016aa0a69ab3becc7d2bf- 12πafalse
- 2$$ {π\over 5}{a}$$false
- 3$$ {7π\over 5}{a}$$false
- 4$$ {9π\over 5}{a}$$true
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Answer : 4. "$$ {9π\over 5}{a}$$"
Q: The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle?
1262 0602e05409f2a38430909bb32
602e05409f2a38430909bb32- 1110 cmfalse
- 2132 cmfalse
- 366 cmfalse
- 488 cmtrue
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Answer : 4. "88 cm"
Q: The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2 , then what will be the volume of prism?
1262 05f2e3eca79b9e641a7646849
5f2e3eca79b9e641a7646849- 1950 cm3false
- 2970 cm3false
- 3960 cm3true
- 4940 cm3false
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Answer : 3. "960 cm3"
Q: A shuttlecock used of playing badminton has the shape of a frustum of a cone mounted on a semi sphere. The external diameters of the frustum are 5 cm and 2 cm, the height of the entire shuttlecock is 7 cm. The external surface is of the shuttlecock is:
1260 0600a9eb5baeda263c3c906b6
600a9eb5baeda263c3c906b6- 167.98 sq.cmfalse
- 274.26 sq.cmtrue
- 370 sq.cmfalse
- 472 sq.cmfalse
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Answer : 2. "74.26 sq.cm"
Q: In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm2 and AC=3AB, then the area of ΔABC:

1254 05f59ce72b772fe2f8b222a04
5f59ce72b772fe2f8b222a04
- 1$$ {150 \ cm^{2}}$$false
- 2$$ {100 \ cm^{2}}$$false
- 3$$ {120 \ cm^{2}}$$true
- 4$$ {160 \ cm^{2}}$$false
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Answer : 3. "$$ {120 \ cm^{2}}$$"
Q: The perimeter of a rectangle and equilateral triangle is equal. One side of the rectangle is also equal to the side of the triangle. Find the ratio of the areas of the rectangle and triangle?
1250 05f4df4075e74bc4ee553f5cd
5f4df4075e74bc4ee553f5cd- 1$$ {\sqrt{3}:1}$$false
- 2$$ {1 : \sqrt{3}}$$false
- 3$$ {2 : \sqrt{3}}$$true
- 4$$ {4 : \sqrt{3}}$$false
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Answer : 3. "$$ {2 : \sqrt{3}}$$"
Q: If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?
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5f801aa64e4f797ddbd81c04- 14 cmfalse
- 26 cmfalse
- 35 cmtrue
- 410 cmfalse
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Answer : 3. "5 cm"
Q: A polygon has 14 sides then find out No. of diagonals in that polygon.
1248 05e8afd2bbd0d850c66cb13a2
5e8afd2bbd0d850c66cb13a2- 175false
- 276false
- 377true
- 480false
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