Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi,

M # 480. The length, breadth, and height of a cuboid are in the ratio 1:2:3. The length, breadth, and height of the cuboid are increased by 100%, 200%, and 200% respectively. Then, find the increase in the volume 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: 48,385

Re: Mensuration

Hi,

M # 481. If the perimeter and diagonal of a rectangle are 14 centimeters and 5 centimeters respectively, find its area.

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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: 48,385

Re: Mensuration

Hi,

M # 482. The length and breadth of a rectangle are in the ratio 9:5. If its area is 720 square meters, find its perimeter.

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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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Mensuration

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi,

The solution M # 482 is correct. Excellent, Monox D. I-Fly!

M # 483. The capacity of a cylindrical tank is 246.4 liters. If its height is 4 meters, what is the diameter of the base of the tank? (1 liter = 1000 cubic 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: 48,385

Re: Mensuration

Hi,

M # 484. The length of a rectangular plot is twice its breadth. If the area of the rectangular plot is 2592 square meters, what is the length of the rectangular plot?

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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: 48,385

Re: Mensuration

Hi,

M #485. A cubical block of 6 centimeters x 9 centimeters x 12 centimeters is cut into an number of equal cubes. Find the least possible number of cubes.

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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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Mensuration

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi,

.

The solution M # 485 is perfect. Splendid, Monox D. I-Fly!

M # 486. How many spherical bullets can be made out of a lead cylinder 28 centimeters high and with base radius 6 centimeters, each bullet being 1.5 centimeters in 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: 48,385

Re: Mensuration

Hi,

M # 487. The area of a square field is 576 square kilometers. How long will it take for a horse to run around it at the speed of 12 kilometers per hour?

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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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Mensuration

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi,

The solution M # 487 is correct. Neat work, Monox D. I-Fly!

M # 488. The metal to be used for covering a cylinder having external radius 5 centimeters, height 21 centimeters, and thickless 1 centimeter is to be cast from a cylinder. What should be the height of the cylinder of radius 3 centimeters from which this casting can be done?

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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: 48,385

Re: Mensuration

Hi,

M # 489. The length of a rectangular field is double its width. Inside the field, there is a square shaped pond 8 meters long. If the area of the pond is 1/8 of the area of the field, what is the length of the field?

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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: 48,385

Re: Mensuration

Hi,

M # 490. The total area of a circle and a square together is equal to 2611 square centimeters. The diameter of the circle is 42 centimeters. What is the sum of the circumference of the circle and the perimeter of the square? Use

.

---

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: 48,385

Re: Mensuration

Hi,

M # 491. The slice of a circular pizza of diameter 14 inches is cut in such a way that each slice of pizza has a central angle of 45 degrees. What is the area of each slice of pizza (in square inches)? 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: 48,385

Re: Mensuration

Hi,

.

M # 492. The cost of paint is $36.50 per kilogram. If 1 kilogram of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side?

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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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Mensuration

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi,

The solution M # 492 is correct. Excellent, Monox D. I-Fly!

M # 493. An order was placed for supply of carpet of breadth 3 meters, and length 1.44 times of breadth. Subsequently, the breadth and length were increased by 25 and 40 percent respectively. At the rate of $45 per square meter, what would be the increase in the cost of the carpet?

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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: 48,385

Re: Mensuration

Hi,

.

M # 494. The area of a square is 196 square centimeters. Its side is half the radius of a circle. The circumference of the circle is equal to the breadth of a rectangle. If perimeter of the rectangle is 712 centimeters, what is the length of the rectangle? Use

.

---

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: 48,385

Re: Mensuration

Hi,

M # 495. A toy in the shape of a hemisphere is surmounted by a cone. If radius of base of the cone is 3 centimeters and height 4 centimeters, find the total surface area of the toy 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: 48,385

Re: Mensuration

Hi,

.

M # 496. The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 meters wide, find the diameter of the circle.

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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: 48,385

Re: Mensuration

Hi,

M # 497. Find the radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 centimeters and 20 centimeters.

---

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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Mensuration

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi,

The solution M # 497 (diameter = 56 centimeters) is correct. Neat work, Monox D. I-Fly!

M # 498. Find the diameter of a circle whose area is equal to the sum of the areas of two circles of radii 24 centimeters and 7 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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Mensuration

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.