Miscellaneous Mensuration (Simple) | Learn Mathematics Online

Miscellaneous Mensuration (Simple)

Study Material (PDF)

Study Material (PDF)

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Question No: #81

If two cubes of length of each side `2\sqrt{6}` cm are placed side by side, then the length of the diagonal of the cuboid so produced is -
(a) 10 cm., (b) 6 cm., (c) 2 cm., (d) 12 cm.

Ans: (d) 12 cm.

Question No: #82

If the sum of the length, breadth and height of a rectangular parallelopiped is 26 cm and its total surface area is 451 sq. cm, then find the length of its diagonal.

Ans: 15 cm.

Question No: #83

If the sum of the dimensions of a rectangular parallelopiped is 24 cm and the length of the diagonal is 15 cm, then find the total surface area of it.

Ans: 351 sq. cm.

Question No: #84

The ratio of lengh, breadth and height of a solid cubiod is `4:3:2`. If the total surface area of it is 468 sq.cm., then find the volume of it.

Ans: 648 c.c.

Question No: #85

If the ratio of length, breadth and height of a cuboidal box is `3:2:1` and its volume is 384 cc. Then calculate the total surface area of the box.

Ans: 352 sq. cm.

Question No: #86

The dimensional ratio of the inner sides of a cuboid is `3:2:1`. If it contains 1296 liters of water, then find the height of the cuboid.

Ans:

Question No: #87

If the ratio of length, breadth and height of a cuboidal box is `8:5:3` and length of its diagonal is `35\sqrt{2}` cm. Then calculate the total surface area of the box.

Ans: 3950 sq.cm.

Question No: #88

The inner length, breadth and height of a tea-box are 7.5 dcm, 6 dcm and 5.4 dcm respectively. The weight of the box fulled with tea is 52 kg 350 gms, but the weight of the empty box is 3.75 kg. Then what will be the weight of tea of volume 1 cu-dcm.?

Ans: 200 g.

Question No: #89

The weight of a wooden box made of wooden planks with the thickness of 5 cm along with its covering is 115·5 kg. But the weight of the box filled with rice is 880·5 kg. The length and breadth of inner side of the box are 12 dcm and 8·5 dcm respectively and the weight of 1 cubic dcm rice is 1·5 kg. Determine the inner height of the box. Also determine the total expenditure to colour the outside of the box, if the rate is ₹ 1·50 per sq-dcm.

Ans: 5 dcm, Rs 775.50

Question No: #90

A square-shaped brass plate has a thickness of 1 mm and weighs 4725 grams. If the weight of 1 cu-cm brass is 8.4 gms, then find the length of each edge of the plate.

Ans: 75 cm