Once he chooses the cube, he needs to sketch the figure and label the whole number dimensions needed to find the surface area of the figure. His friend, Miguel, needs to build the same figure, but needs to double all of the dimensions.
Write an explanation of what happens to the surface area of the figures when the dimensions are doubled. Include all relevant math work to help clarify your explanation,make it look like a seventh grader did this please
When the dimensions of a figure are doubled, the surface area is increased by a factor of 4. This is because surface area is calculated by adding up the areas of all the faces of the figure, and when each dimension is doubled, the area of each face is also doubled.
For example, if we have a cube with a side length of 3 units, the surface area would be 6 sides multiplied by 3 units each, which equals 54 square units.
When Miguel doubles all the dimensions for his cube, each side is now 6 units long. The surface area is now 6 sides multiplied by 6 units each, which equals 144 square units. This is 4 times the surface area of the original cube (54 x 4 = 216).
Therefore, when the dimensions are doubled, the surface area of a figure is multiplied by 4.