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What happens to the volume of a rectangular pyramid if both its length and its height are doubled and its width halved?

The volume is doubled.


The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be?

The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be increased.


If the base of a triangle is doubled and height is halved its area will be?

The exact same as the original triangle.


What happens to the perimeter if the base and height of the rectangle are doubled?

increase


How does the area of a triangle change if the base is doubled and the height is halved?

you can easely calculate it: the original measurements: 6(bottom)*6(height)*½=18 double the base half the height: 12*3*½=18 so it remains the same


How do their areas compare when one rectangle is twice as long as the other?

Area of a rectangle is Base(B) times Height(H).Area of smaller rectangle is BH.Area of larger rectangle is 2BH.Area of larger rectangle is twice as large as the smaller rectangle.


How does the volume of a cylinder change if its height is doubled and its radius is halved?

The volume of a cylinder is calculated using the formula ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. If the height is doubled and the radius is halved, the new volume becomes ( V' = \pi \left(\frac{r}{2}\right)^2 (2h) = \pi \left(\frac{r^2}{4}\right)(2h) = \frac{\pi r^2 h}{2} ), which is half the original volume. Thus, the volume of the cylinder decreases to 50% of its original size.


How does the volume of a cylinder change if the height is doubled?

The volume will be doubled.


How does the volume of a pyramid change when the height is halved?

The volume of a pyramid is given by the formula ( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ). If the height is halved, the new volume becomes ( V' = \frac{1}{3} \times \text{Base Area} \times \frac{\text{Height}}{2} ), which simplifies to ( V' = \frac{1}{2} \times V ). Therefore, when the height of a pyramid is halved, the volume is also halved.


The area of rectangle?

Rectangle area = (rectangle width) x (rectangle height)


If the base and height of a triangle are doubled how is its area changed?

The area is multiplied by 4, not doubled.


What is the area of a parallelogram if the base and height are doubled?

As area_of_parallelogram = base x height if they are both doubled then: new_area = (2 x base) x (2 x height) = 4 x (base x height) = 4 x area_of_parallelogram Thus, if the base and height of a parallelogram are [both] doubled, the area is quadrupled.