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What happens to the surface area and volume when all the dimensions of a three-dimensional solid is doubled?
The new area is 22 = 4 times the original area. The new volume is 23 = 8 times the original volume.
The volume of a cylinder increased by 8 times the original volume How many times greater are each of the dimensions of that new cylinder?
the dimensions of the cylinder would be 2 times greater. We just had a test on this stuff and this was one of the questions.
What happens to the surface volume of a cube if the length of each edge is doubled?
the volume increase 8 times
Why does the area of a triangle quadruple when the sides are doubled?
Since the area is (length of base)*(height)/2 {call these dimensions B & H) A1 = B*H/2 With dimensions doubled, A2 = (2*B)*(2*H)/2 = 4*B*H/2 = 4*A1. By not simplifying to 2*B*H, it's easier to see that it is four times the original area. It is 4 times because the two length dimensions are multiplied, and 2 * 2 = 4.
What happens to the surface area of a cube if the lenght of each edge is doubled?
The surface area goes as the edge ength squared, so if you double the edges you get four times the area
If the dimensions of a cylinder are doubled will the volume be 8 times greater?
Yes.
How many times larger is the volume when three dimensions are doubled?
Eight times larger.
What happens to the surface area and volume when all the dimensions of a three-dimensional solid is doubled?
The new area is 22 = 4 times the original area. The new volume is 23 = 8 times the original volume.
What happens to the surface area of a sphere if its radius is doubled?
If the radius of a sphere is doubled, the surface area increases by (2)2 = 4 times, and the volume increases by (2)3 = 8 times.
What is the surface area of a cube if its edges are doubled?
Surface Area becomes 4 times the original when its edges are doubled because Suraface area = (edge)^2
If the radius of a circle is doubled the how does that effect the area?
The area of the circle will be 4 times greater
The volume of a cylinder increased by 8 times the original volume How many times greater are each of the dimensions of that new cylinder?
the dimensions of the cylinder would be 2 times greater. We just had a test on this stuff and this was one of the questions.
What is the new volume of a cylinder if the height and radius are doubled?
If the radius and height of a cylinder are both doubled, then its surface area becomes 4 times what it was originally, and its volume becomes 8 times as much.
What happens to the surface volume of a cube if the length of each edge is doubled?
the volume increase 8 times
When the dimensions of a triangle are tripled is the area of the new triangle 6 times greater than the original triangle?
No. It's 9 times greater. The area changes according to the square ofthe number that you use to multiply all the linear dimensions."3 squared" = 32 = 3 x 3 = 9If you made the dimensions of the triangle 10 times bigger, the areawould become 102 = 100 times greater.
How much does the surface area increase?
It will increase by a factor of 4; in other words, it will be 4 times greater. Given that all sides of a cube are of equal dimension, I will call this variable dimension x. The surface area is, therefore, x2. If the side of the cube is doubled (2x), then the surface area would be (2x)(2x) = (2x)2 = 4x2. So: x --> 2x (the side length is doubled) x2 --> 4x2 (the surface area is quadrupled)
What is the pattern rule for this pattern 11224488?
Times one, doubled, times one, doubled...
