Arithmatical - Volume and Surface Areas
DIRECTIONS : Problems based on Volume&Surface Areas.
25. |
A rectangular box measures internally 1.6 m long, I m broad and 60 cm deep.The number of cubical blocks each of edge 20 cm that can be packed inside the box is |
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A. 30 |
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B. 53 |
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C. 60 |
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D. 120 |
Solution |
Number of blocks | = (160×100×60 / 20×20×20) |
= 120. |
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26. |
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is: |
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A. 3.6 kg |
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B. 3.696 kg |
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C. 36 kg |
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D. 36.9 kg |
Solution |
External radius = 4 cm, |
Internal radius = 3 cm. |
Volume of iron | =(22/7×(42)-(32)×21)cm3 |
= (22/7×7 ×1×21)cm3 |
= 462 cm3. |
Weight of iron = (462 x 8) gm = 3696 gm = 3.696 kg. |
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27. |
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is |
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A. 3220 |
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B. 4830 |
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C. 5120 |
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D. 6420 |
Solution |
Clearly,l = (48 - 16)m = 32 m
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‹=›b = (36 -16)m = 20 m, |
‹=›h = 8 m.. |
Volume of the box =(32x20x8) m3 | = 5120 m3.
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