How would the volume of a rectangular prism change if each side of the prism is doubled in length?

How would the volume of a rectangular prism change if each side of the prism is doubled in length?

2 Answers By Expert Tutors If you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

How is the volume of a cube affected when the length of each edge is doubled *?

If each side length is doubled, then the surface area of each face becomes 6(2x)2 = 6(4×2) = 24×2. The volume of a cube with side length x is x3. Each of the edge lengths in the cube are then doubled.

What will happen to the volume of a cube if its side is double?

As we know that the cube has 6 sides and each side represents the square. Let the side length of the cube be a unit. Now it is given that the edge of the cube is doubled. So, the new volume of the cube is eight times the old volume.

How does the volume of a rectangular prism change if its width is multiplied by 4?

Multiplying the length of a prism by a scale factor of 4 will multiply the volume by 4. Doubling the length of a prism will double its volume. Rectangular Prism A has a volume of 275 cubic inches. Rectangular Prism B has the same dimensions as Prism A except it is three times taller in height.

What happens to the volume of a rectangular prism if you double the height give an example?

The volume of a rectangular prism can be found by using the formula: V = l*w*h, where l, w and h are length, width and height respectively. If we were to double the height of the prism, h would now become 2h, indicating that it has been doubled.

What will happen to the volume of a cube if the measure of each of its side is tripled?

If the side of the cube is tripled how many times the volume of the cube will be increased? Therefore, If we increase the side of the cube to 3 times then its volume is increased by 27 times.

What will happen to volume of a cube if its each edge is tripled?

If edge of cube will be tripled then the volume will be 27 times. greater than the original volume.

How do you find the volume increase?

To calculate this, you need to divide the volume change over the last n-periods (days, weeks or months) by the volume n-periods ago. The answer is a percentage change of the volume over the last n-periods.

How does the volume of a rectangular prism change when one of the attributes is increased?

Doubling the length of a prism will double its volume. Multiplying the length of a prism by a scale factor of 4 will also increase the surface area by a scale factor of 4. The volume is eight times as large.

How do you increase the volume of a rectangular prism?

The volume of a rectangular prism is given by \\ (V = l imes b imes h\\). If we increase the length, breadth and height by a constant factor of 3 the volume is: Therefore the volume of the prism increases by a factor of 27 when the length, breadth and height are increased by a constant factor of 3.

What happens when you multiply the dimensions of a prism?

When one or more of the dimensions of a prism or cylinder is multiplied by a constant, the surface area and volume will change. The new surface area and volume can be calculated by using the formulae from the preceding section.

What is the volume of the prism when length and breadth?

If we increase the length and breadth by a constant factor of 3 the volume is: Therefore the volume of the prism increases by a factor of 9 when the length and breadth are increased by a constant factor of 3. length, breadth and height are multiplied by a constant factor of \\ ( ext {3}\\).