Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 432. If the total surface area of a cube is 96 square centimeters, find its volume.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 433. Dimensions of a room is 12 meters length, 8 meters breadth, and 2 meters height. How many persons can sit in this room when a person requires 2.4 cubic meters place to sit?

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

.

M # 434. If the length becomes thrice, the height becomes half, and the breadth becomes four times, then the volume of the cuboid will be how many times?

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 435. A cistern 6 meter long and 4 meter wide, contains water up to a depth of 1 meter 25 centimeters. Find the total surface area of the wet surface.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 436. Find the maximum length of a pencil that can be kept in a rectangular box of dimensions 8 centimeters x 6 centimeters x 2 centimeters.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 437. The area of the four walls of a room is 660 square meters and its length is twice its breadth. If the height of the room is 11 meters, find the area of its floor in square meters.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 438. The length, breadth, and height of a cuboid are in the ratio 3:4:6 and its volume is 576 cubic centimeters. Find the total surface area of the cuboid.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 439. Three cubes of sides 12 centimeters, 16 centimeters, and 2 centimeters are melted to form a new cube. Find the Surface Area of the cube.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 440. If the edge of a cube is increased by 30%, then the volume increases by how much percent?

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

.

M # 441. Find the volume of a right circular cylinder of radius 14 centimeters and height 12 centimeters. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 442. In a right circular cylinder, the ratio of the diameter and the height is 7:4. If the curved surface area is 3168 square centimeters, find the volume of the cylinder. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 443. The outer and and the inner diameters of a circular pipe are 6 centimeters and 4 centimeters respectively. If its length is 10 centimeters,  then what is the total surface area in square centimeters? Answer in terms of

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 444. Two right circular cylinders of equal volume have their heights in the ratio 1:2. Find the ratio of their radii.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Mensuration

Hi,

M # 444. Two right circular cylinders of equal volume have their heights in the ratio 1:2. Find the ratio of their radii.

Hi ganesh,

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

The solution

is correct. Excellent, anonimnystefy!

M # 445. Find the volume of a right circular cylinder, whose height is 40 centimeters and circumference of its base is 66 centimeters. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 446. The volume of a right circular cylinder is 198 cubic centimeters, and it's curved surface area is 132 square centimeters, then what is the of the height to the diameter?

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 447. The ratio of curved to the total surface area is 5:7. What is the ratio of the height to the radius?

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 448. A 20 meter deep well of diameter 7 meters is dug and the earth from digging is evenly spread out to form a cuboidal platform of length 22 meters and breadth 14 meters. Find the height of the platform. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 449. The base radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Find the ratio of their volumes.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

.

M # 450. The curved surface area of a cylindrical pillar is 264 square meters and its volume is 924 cubic meters. Find the ratio of its diameter and its height. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 451. A hollow cylindrical tube, 20 centimeters long, is made of iron and its external and internal diameters are 8 centimeters and 6 centimeters respectively. Find the volume of iron used in making the tube. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 452. A right circular cylinder of height 16 centimeters is covered by a rectangular tin foil of size 16 centimeters in length and 22 centimeters breadth. Find the volume of the cylinder. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 453. The Volume of metal of a cylindrical pipe is 748 cubic centimeters. The length of the pipe is 14 centimeters and its external radius is 9 centimeters. Find its thickness. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 454. The Lateral Surface Area of a Cylinder is 1056 square centimeters and its height is 16 centimeters. Find it's Volume. Use

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

Re: Mensuration

Hi,

M # 455. If the radius of a right circular cylinder is decreased by 50% and its height is increased by 60%, then its volume is decreased by how much percent?

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.