Miscellaneous Mensuration (Simple) | Learn Mathematics Online

Miscellaneous Mensuration (Simple)

Study Material (PDF)

Study Material (PDF)

Click on each question to see answer & solution.

Question No: #51

The quantity of iron-sheet to make a boya of right circular conical shape is `75 3/7` sq.m. If the slant height of it is 5 m., then calculate the volume of air in the boya.

Ans: `12\pi` cubic m.

Question No: #52

The base diameter of a right circular cone is 21 m. and height is 14 m. Calculate the expenditure to colour the lateral surface of it at the rate of rs. 1.50 per sq.m.

Ans: rs. 866.25

Question No: #53

To make a conical tent `188 4/7` sq.m. of tarpaulin is required. If the circumference of the base of tent be `37 5/7` m., then find the height, slant height and radius of base of the tent.

Ans: 8 m, 10 m, 6 m

Question No: #54

The area of the base of a tent in the form of a right circular cone is 13.86 sq.metre. To make the tent a tripol of rupees 5775 is required and the price of 1 square metre of tripol is rupees 250. Find the height of the tent and volume of the air within the tent in liters.

Ans: 2.8 m, 12936 liters

Question No: #55

If `h`, `s`, `v` are respectively the height, the curved surface and volume of a right circular cone, then prove that `3 \pi v h^3 - s^2 h^2 + 9 v^2 = 0`.

Ans:

Question No: #56

The dimension of a cuboid are 12 cm, 6 cm and 3 cm. What is the length of each edge of the cube, whose volume is equal to the volume of said cuboid?

Ans: 6 cm

Question No: #57

The dimension of two cuboids are `6, 4, 4` unit and `8, (2h+1), 2` unit respectively. If the volume of these two cuboids are same, then the value of `h` is -
(a) 2, (b) 2.5, (c) 3.5, (d) 5

Ans: (b) 2.5

Question No: #58

If the number of surfaces of a cuboid is `x`, the number of edges is `y`, the number of vertices is `z` and the number of diagonals is `p`, then find the value of `(x - y + z + p)`.

Ans: `6`

Question No: #59

Find the height of a cuboid whose base area is 120 sq.cm. and volume is 720 c.c.

Ans: 6 cm

Question No: #60

If the sides of a cube are doubled in length, then its volume will be ....... times the original volume.

Ans: 8