answersLogoWhite

0


Best Answer

It must be made a third of its current value, ie divided by 3.

The volume of a pyramid is 1/3 x area_base x height.

The 1/3 is constant; to keep the volume constant as the base_area changes, the height must vary inversely.

If the base_area is tripled, ie multiplied by 3, the height must be reduced to a third, ie divided by 3.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you change the height of a square pyramid so that its volume would remain the same when the area of the base is tripled?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How would you changed the height of a cone so that its volume would remain the same when its radius was tripled?

V = (pi) R^2 H/3 if radius triples then volume goes as radius squared = 9 times more, so you would need to reduce height by 9 to keep same volume


What was the first type of pyramid called?

The first type of pyramid built was the step-pyramid. Only a couple remain in Giza today.


What happens to the volume of the rectangular prism in number 1 if the length is tripled?

I'd need to review what happened in number-1 before I could answer that. I do know that if only the length of a rectanguar prism is tripled, while the other two dimensions remain unchanged, then its volume triples.


When a triangle is enlarged by a factor 3 are the angles tripled in size?

No - if the lengths of the sides are all increased by a factor of 3, the angles remain unchanged. You just wind up with a "similar" triangle 3 times the size of the original. A quick counterexample would be to consider what would happen if the angles DID change. The sum of the angles in the original triangle should be 180°. If the angles in the new, larger triangle tripled in size, the sum of the angles in the bigger triangle would be 540° - but the sum of the angles of a triangle should always remain 180°.


What happens to the surface area of a cylinder if the height is doubled and the diameter of the base is not change?

The surface area of the 'wall' doubles, but the base areas remain the same.


Would the height of a tree be greater in feet or inches?

The height would remain the same.


What does the great pyramid of Giza remain of?

It is the last extant from the seven wonders of the ancient world.


What can you predict about a population with an age structure diagram shaped like a pyramid?

The population will remain stable


What happens to kinetic energy if the velocity is tripled?

EXPLANATION:- We know that:- K.E = 1/2 m v^2 => K.E is directly proportional to the square of velocity. Conclusion:- If velocity becomes tripled than K.E. becomes Nine times to its initial value.


When a rock is placed in a graduated cylinder containing water the height of the water will what?

remain the same


What does not change when a physical change in a sample occurs?

Substance in the material Remain the same


How is the gravitational potential energy of an object affected if its height increases and other variables remain constant?

Gravitational PE = mgh; the product of mass, gravity, and height. At a greater height, there will be more potential energy.