Volume and Surface Area Questions Practice Question and Answer
8 Q: If each edge of a cube is reduced by 25 percent, find the ratio of the volume of the original cube and the resulting cube?
920 05f892f0de6aa3e1d0bd22e80
5f892f0de6aa3e1d0bd22e80- 18:1false
- 227:64false
- 364:1true
- 464:27false
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Answer : 3. "64:1"
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?
559 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: From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is.
611 05f8016fb0a69ab3becc7d418
5f8016fb0a69ab3becc7d418- 1$$ {1\over3}π{r^{2}}h$$false
- 2$$ {1\over24}π{r^{2}}h$$false
- 3$$ {7\over24}π{r^{2}}h$$true
- 4$$ {1\over8}π{r^{2}}h$$false
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Answer : 3. "$$ {7\over24}π{r^{2}}h$$"
Q: The perimeter of a square and an equilateral triangle is the same if the length of the diagonal of the square is $$ {12 \ sqrt {2}} $$ cm. If, what will be the area of the triangle?
1107 05f8043de88aba328edafaf6a
5f8043de88aba328edafaf6a- 1$$ {64\sqrt{3}}$$ sq.cmtrue
- 2$$ {32\sqrt{3}}$$ sq.cmfalse
- 3$$ {24\sqrt{3}}$$ sq.cmfalse
- 4$$ {28\sqrt{3}}$$ sq.cmfalse
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Answer : 1. "$$ {64\sqrt{3}}$$ sq.cm"
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?
674 05f801aa64e4f797ddbd81c04
5f801aa64e4f797ddbd81c04- 14 cmfalse
- 26 cmfalse
- 35 cmtrue
- 410 cmfalse
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Answer : 3. "5 cm"
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 -
597 05f80177988aba328edadbd87
5f80177988aba328edadbd87- 18 cmfalse
- 25 cmtrue
- 36 cmfalse
- 412 cmfalse
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Answer : 2. "5 cm"
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
520 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: If an equilateral triangle is inscribed in a circle of area 48 π square units, then the perimeter of the triangle is:
704 05f8015c6cf913626441d5987
5f8015c6cf913626441d5987- 172 unitsfalse
- 236 unitstrue
- 348 unitsfalse
- 4$${48}{\sqrt{3}}$$ unitsfalse
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