0
What else can I help you with?
If all the dimensions of a cube are doubled the surface area is four times greater?
When the dimensions of a cube are doubled, each side length increases from ( s ) to ( 2s ). The surface area of a cube is calculated as ( 6s^2 ); therefore, the new surface area becomes ( 6(2s)^2 = 6 \times 4s^2 = 24s^2 ). This shows that the new surface area is four times greater than the original surface area of ( 6s^2 ). Hence, when the dimensions are doubled, the surface area indeed increases by a factor of four.
How does the total surface area of a box change if 1the demension is doubled 2the demansion is tripled?
The effect on the total surface area of one dimension being doubled or tripled cannot be calculated. You either need to know all three dimensions or all three dimensions must be doubled, not just one dimension (or demension / demansion as you call them).
What do you think happens to the surface area of a rectangular prism when each length is doubled?
It quadruples.
What happens to the surface area of a cylinder if the diameter of the base is doubled and the height is not changed?
The base areas quadruple and the curved surface doubles.
What happens to the surface volume of a cube if the length of each edge is doubled?
the volume increase 8 times
If all the dimensions of a cube are doubled the surface area is four times greater?
When the dimensions of a cube are doubled, each side length increases from ( s ) to ( 2s ). The surface area of a cube is calculated as ( 6s^2 ); therefore, the new surface area becomes ( 6(2s)^2 = 6 \times 4s^2 = 24s^2 ). This shows that the new surface area is four times greater than the original surface area of ( 6s^2 ). Hence, when the dimensions are doubled, the surface area indeed increases by a factor of four.
How does the total surface area of a box change if 1the demension is doubled 2the demansion is tripled?
The effect on the total surface area of one dimension being doubled or tripled cannot be calculated. You either need to know all three dimensions or all three dimensions must be doubled, not just one dimension (or demension / demansion as you call them).
What do you think happens to the surface area of a rectangular prism when each length is doubled?
It quadruples.
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 happens to the surface area of a cylinder if the diameter of the base is doubled and the height is not changed?
The base areas quadruple and the curved surface doubles.
What happens to the surface volume of a cube if the length of each edge is doubled?
the volume increase 8 times
What happens to the surface area and volume when the height of a three-dimensional solid is doubled?
The change in the surface area depends on the shape. The volume will double.
What would happen if the dimensions of a cone doubled?
If the dimensions of a cone are doubled, both its height and radius increase by a factor of two. As a result, the volume of the cone, which is calculated using the formula ( V = \frac{1}{3} \pi r^2 h ), would increase by a factor of eight, since volume is proportional to the cube of the dimensions. The surface area would also increase, but by a smaller factor of four, as surface area scales with the square of the dimensions. Thus, the cone would become significantly larger in both volume and surface area.
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.
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
What happens to surface area when dimensions are changed by a scale factor?
The area changes by the square of the same factor.
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
