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 ?
474 0609cd31fe941dd6183d59912
609cd31fe941dd6183d59912- 1$$ {54\sqrt{2}}$$false
- 2$$ {27\sqrt{2}}$$false
- 354false
- 427true
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Answer : 4. "27"
Q: The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?
444 0609cd2dc4587a93a1dcdd83c
609cd2dc4587a93a1dcdd83c- 1$$ {28\sqrt{2}{\ cm}}$$false
- 2$$ {14\sqrt{2}{\ cm}}$$true
- 328false
- 4$$ {21\sqrt{2}{\ cm}}$$false
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Answer : 2. "$$ {14\sqrt{2}{\ cm}}$$"
Q: In a circle of radius 17 cm, two parallel chords of lengths 30 cm. and 16 cm are drawn. If both the chords are on the same side of the center, then the distance between the chords is -
480 0609a6719f738a51c29ae2b02
609a6719f738a51c29ae2b02- 17 cm.true
- 217 cm.false
- 39 cm.false
- 423 cm.false
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Answer : 1. "7 cm. "
Q: If the ratio of the areas of two similar triangle ABC and DEF is 36:81 and EF = 6.9 cm., then BC is equal to –
516 0609a642ef738a51c29ae2450
609a642ef738a51c29ae2450- 14.6 cm.true
- 26.4 cm.false
- 34 cm.false
- 46 cm.false
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Answer : 1. "4.6 cm. "
Q: A straight line parallel to the base QR of the ∆PQR intersect PQ and PR at the points S and T respectively. If the area of the ∆PQT be 36 cm2 then area of the ∆PRS is:
409 060952c6b1a490e0a05cdf807
60952c6b1a490e0a05cdf807- 1$$ {18 {\ cm^{2}}}$$false
- 2$$ {36 {\ cm^{2}}}$$true
- 3$$ {28 {\ cm^{2}}}$$false
- 4$$ {48 {\ cm^{2}}}$$false
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Answer : 2. "$$ {36 {\ cm^{2}}}$$"
Q: A regular hexagon has a side of 4 cm. Find its area. (in sq. cm)
604 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: Three solid metallic sphere whose radii are 3cm, x cm and 18cm respectively, are melted and recast into a single solid sphere of diameter 38cm. Then find the total surface area of the sphere with radius x cm?
489 06066d1b5ffdc341493f35c4d
6066d1b5ffdc341493f35c4d- 1300 πfalse
- 2400 πtrue
- 3100 πfalse
- 4200 πfalse
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Answer : 2. "400 π "
Q: A cylindrical well of depth 21 m with internal radius of 13 m is dug up. The mud, so detained, is spread evenly to form a platform of dimension 52 × 13.2. What is the height of the platform?
613 06058670a9982dc053f987d21
6058670a9982dc053f987d21- 162.5 mfalse
- 237.5 mtrue
- 313.4 mfalse
- 418.2 mfalse
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