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I will rephrase your question: What happens to the surface area of a cube when the volume doubles. Ans. Surface area becomes 1.5876 times larger. Explanation: Let L = the length of the side of the original cube and h x L the length of the cube that is double the volume. Now: Vol= L^3 x 2 = (h x L)^3 or h = 2^(1/3) = 1.2599, so the length will be 1.2599 times larger. Surface area = 6 x L^2 for original cube and 6 x L^2 x 1.2599^2 for the cube with twice the volume. 1.2599^2 = 1.5876 If you are asking what happens to the surface area when the sides double, then the larger cube has surface area = 6 * 2^2 * L^2 , so 6 * 2^2 = 24. Each side is 4 times larger so the total surface area is 24 times larger.
What else can I help you with?
What is the surface area of a 0.5cm cube?
The surface area of a 0.5cm cube is 1.5cm2
What is the surface area of a 1mm cube?
The surface area of a 1mm cube is 6mm2
What is the volume of a cube that has a surface area of 343?
The volume of a cube that has a surface area of 343 is 432.2
What is the surface area of 1cm cube?
A cube has 6 sides, therefore a 1cm cube has a total surface area of 6 square centimeters.
What is the formula for surface area and volume of a cube?
Surface Area of Cube is 6 x a^2 where a is the length of one side of cube. Volume of Cube is a^3 where a is the length of one side of cube.
What happens to the surface area of a cube when the cube decreases in size?
Surface area also decreases
What happens to the surface area of a cube as its height doubles?
If the height of a cube doubles and becomes a square prism instead of a cube, four of the six original equal area surfaces double in area, but the other two are unchanged. Therefore the area of the square prism is (2/3) X 2 = 4/3 as great as the original cube. If the original object is to remain a cube when its height doubles, all the other dimensions must also double; in that instance, the area increases by a factor of four.
What happens to the Surface Area of a cube if each edge is multiplied by 7?
The surface area increase by a factor of 49.
What happens to the surface area of a cube when it triples?
If the length of the sides triples, the surface area increases 9-fold.
Finding the surface area of a cube?
Total surface area of a cube = 6*area of cube face = 6*cube side*cube side
What happens to the surface area of a cube if all sides triple?
It increases nine-fold.
What is curved surface area of cube?
Zero. A cube does not have a curved surface area.
What is the surface area of a 1mm cube?
The surface area of a 1mm cube is 6mm2
What is the surface area of a 0.5cm cube?
The surface area of a 0.5cm cube is 1.5cm2
How do you find lateral surface area of cube?
If a is the side,lateral surface area of cube=4a2
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 is the volume of a cube that has a surface area of 343?
The volume of a cube that has a surface area of 343 is 432.2
