Volume and Surface Area Practice Question and Answer
8 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?
1311 05f801aa64e4f797ddbd81c04
5f801aa64e4f797ddbd81c04- 14 cmfalse
- 26 cmfalse
- 35 cmtrue
- 410 cmfalse
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Answer : 3. "5 cm"
Q: A regular hexagon has a side of 4 cm. Find its area. (in sq. cm)
1305 0609528c61a490e0a05cde328
609528c61a490e0a05cde328- 1$$ {24\sqrt{3}}$$true
- 2$$ {18\sqrt{3}}$$false
- 3$$ {36\sqrt{3}}$$false
- 4None of thesefalse
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Answer : 1. "$$ {24\sqrt{3}}$$"
Q: 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is $$ {4 m^{3}}$$ , then the rise in the water level in the tank will be:
1303 05ffc324723210f22f330326c
5ffc324723210f22f330326c- 120 cmfalse
- 250 cmfalse
- 335 cmfalse
- 425 cmtrue
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Answer : 4. "25 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:

1303 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: 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.
1299 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: If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius R1 and height h, then h in terms of R1 will be :
1297 060b6101727bd974fe7f5d7a5
60b6101727bd974fe7f5d7a5- 1$$ {40-R_1\over {R_1}}$$false
- 2$$ {40-R_1\over {R_1^{2}}}$$false
- 3$$ {40-R_1^{2}}\over R_1$$true
- 4None of thesefalse
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Answer : 3. "$$ {40-R_1^{2}}\over R_1$$"
Q: A polygon has 14 sides then find out No. of diagonals in that polygon.
1295 05e8afd2bbd0d850c66cb13a2
5e8afd2bbd0d850c66cb13a2- 175false
- 276false
- 377true
- 480false
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Answer : 3. "77 "
Q: What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?
1291 05eccef537bb74b48ff93a881
5eccef537bb74b48ff93a881- 1πr (l + r)true
- 22πr (l+r)false
- 3πrlfalse
- 4$$ 2πrl^2$$false
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