Volume and Surface Area Practice Question and Answer
8 Q: A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?
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5f2e3cbf8c86ab1da00043b1- 1289false
- 2616false
- 3962.56false
- 4481.056true
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Answer : 4. "481.056"
Q: The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm3, then its lateral surface area ( in cm2) is:
807 05f40de68b8958f14fa2b49f9
5f40de68b8958f14fa2b49f9- 12556false
- 22448false
- 32520true
- 42484false
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Answer : 3. "2520"
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?
805 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: The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is
805 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 figure below is an equilateral triangle with sides of length 6. What is the area of the triangle?
804 05ffc2e4d23210f22f3302d24
5ffc2e4d23210f22f3302d24- 1$$ {9\sqrt{3}:1}$$true
- 216false
- 318false
- 4$$ {12\sqrt{3}:1}$$false
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Answer : 1. "$$ {9\sqrt{3}:1}$$"
Q: The ratio of Volume of two spheres A and B is 8 : 1. The Surface Area of Sphere B is 616 cm2. Find the radius of sphere A.
801 05feeeb346a1a496de8dda0da
5feeeb346a1a496de8dda0da- 114 cmtrue
- 216 cmfalse
- 310 cmfalse
- 412 cmfalse
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Answer : 1. "14 cm "
Q: The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?
793 05f87f977e6aa3e1d0bcbcc73
5f87f977e6aa3e1d0bcbcc73- 1$$ {5\sqrt{2}}{\ cm};{18.25{\ cm^{2}}}$$false
- 2$$ {(5+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$false
- 3$$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$true
- 416 cm and 16 sq.cmfalse
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Answer : 3. "$$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$"
Q: The covered surface area of a cone of radius 8 cm and height 6 cm is double the covered surface area of a cylinder of radius 4 cm. Find the height of the cylinder?
793 05f2cfa82be9f31290fb86050
5f2cfa82be9f31290fb86050- 15 cmtrue
- 28 cmfalse
- 310 cmfalse
- 412 cmfalse
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