51). Find the total surface area, volume and length of diagonal of a cuboid whose length, breadth and height are 16 cm. 12 cm. and 4 cm. respectively.
A). \( \Large 688\ cm^{2} \), \( \Large 784\ cm^{3} \), 24.8 cm. |
B). \( \Large 608\ cm^{2} \), \( \Large 768\ cm^{3} \), 20.4 cm. |
C). \( \Large 664\ cm^{2} \), \( \Large 754\ cm^{3} \), 32.6 cm. |
D). \( \Large 672\ cm^{2} \), \( \Large 772\ cm^{3} \), 48.6 cm. |
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52). A solid cylinder's base has a diameter of 14cm and the height is 20cm. Find the surface area, total surface area and the volume of the cylinder.
A). \( \Large 772 cm^{2} \), \( \Large 1266\ cm^{2} \), \( \Large 2680\ cm^{3} \) |
B). \( \Large 984 cm^{2} \), \( \Large 1372\ cm^{2} \), \( \Large 4960\ cm^{3} \) |
C). \( \Large 880 cm^{2} \), \( \Large 1188\ cm^{2} \), \( \Large 3080\ cm^{3} \) |
D). \( \Large 1082 cm^{2} \), \( \Large 1464\ cm^{2} \), \( \Large 3660\ cm^{3} \) |
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53). A tent in the shape of a cone has a height of 12 metres and its radius of the base is 16 metres. If the cost per metre of a cloth is Rs.7. Find the cost of the material to cover the tent.
A). Rs.6096.80 |
B). Rs.7096.40 |
C). Rs.6064.80 |
D). Rs.7033.60 |
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54). Total surface area of a sphere is \( \Large 154 cm^{2} \). Find its volume.
A). \( \Large 179.67\ cm^{3} \) |
B). \( \Large 169.33\ cm^{3} \) |
C). \( \Large 198.33\ cm^{3} \) |
D). \( \Large 186.67\ cm^{3} \) |
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55). The length of the longest rod that can be placed in a room of 30 m long, 24 m broad and 18m high is
A). 30 m |
B). \( \Large 15\sqrt{2} \)m |
C). 60 m |
D). \( \Large 30\sqrt{2} \)m |
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56). The volume of a cube is \( \Large 216\ cm^{3} \). The surface area of the cube is.
A). 216 sq.mts. |
B). 125 sq. mts. |
C). 264 sq. mts. |
D). 426 sq. mts. |
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57). The surface area of a cube is \( \Large 1350\ cm^{2} \). The length of the diagonal is.
A). \( \Large 10\sqrt{3} \)cm |
B). \( \Large 12\sqrt{3} \)cm |
C). \( \Large 15\sqrt{3} \)cm |
D). \( \Large 25\sqrt{3} \)cm |
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58). The dimensions of an open metal box are 52 cm, 42 cm and 31 cm. Its thickness is 1 cm. If \( \Large 1\ cm^{3} \) of metal used in the box weighs one gram, then the weight of the box is
A). 7.04 kg. |
B). 7.704 kg. |
C). 7.64 kg. |
D). 7.86 kg. |
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59). Three tubes of metals whose edges are 3cm, 4cm and 5cm respectively are melted to make a single cube. If there is no loss of metal in the process. Find the side of the new cube.
A). 6 cm. |
B). 7 cm. |
C). 8 cm. |
D). 9 cm |
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60). The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is the ratio 5 : 3. The ratio of their volumes is
A). 27 : 20 |
B). 20 : 27 |
C). 4 : 9 |
D). 9 : 4 |
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