Volume and Surface Area Questions Practice Question and Answer
8 Q: The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18\sqrt{3}}$$ sq.cm. What is the area (in cm2) of the equilateral triangle ?
1541 0609cd31fe941dd6183d59912
609cd31fe941dd6183d59912- 1$$ {54\sqrt{2}}$$false
- 2$$ {27\sqrt{2}}$$false
- 354false
- 427true
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Answer : 4. "27"
Q: The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is
1538 060b7166dcef13e72bbf9983c
60b7166dcef13e72bbf9983c- 1$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$true
- 2$$ {(2+\sqrt{2})}{\ p^{2}} sq.unit $$false
- 3$$ {(2-\sqrt{2})}{\ p^{2}} sq.unit $$false
- 4$$ {(3-\sqrt{2})}{\ p^{2}} sq.unit $$false
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Answer : 1. "$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$"
Q: The ratio of the sides of a triangle is 3: 4: a and the area of this triangle is 216 square cm. And the perimeter of this triangle is 72 cm. Then the value of a will be -
1537 05f80177988aba328edadbd87
5f80177988aba328edadbd87- 18 cmfalse
- 25 cmtrue
- 36 cmfalse
- 412 cmfalse
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Answer : 2. "5 cm"
Q: The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is:
1537 05f1e6b911b4d8003eeb0374e
5f1e6b911b4d8003eeb0374e- 116 cmfalse
- 212 cmtrue
- 39 cmfalse
- 48 cmfalse
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Answer : 2. "12 cm"
Q: A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is?
1525 0600a99b71187ab38691ebf0a
600a99b71187ab38691ebf0a- 1$$ {1\over 4}$$false
- 2$$ {1\over 2}$$false
- 3$$ {3\over 8}$$true
- 4$$ {5\over 8}$$false
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Answer : 3. "$$ {3\over 8}$$"
Q: The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:
1520 060c09b7f3a55aa3a4ad09e08
60c09b7f3a55aa3a4ad09e08- 1169 π m2false
- 2172 π m2false
- 3165 π m2false
- 4180 π m2true
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Answer : 4. "180 π m2"
Q: The area of a circle is 616 sq cm, find its circumference?
1517 05f0e7954dcdb5f61f5c2fab3
5f0e7954dcdb5f61f5c2fab3- 144 cmfalse
- 288 cmtrue
- 322 cmfalse
- 4176 cmfalse
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Answer : 2. "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?
1516 05f2e3eca79b9e641a7646849
5f2e3eca79b9e641a7646849- 1950 cm3false
- 2970 cm3false
- 3960 cm3true
- 4940 cm3false
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