Question

Tyrese wants to build a three-dimensional structure for a project. He needs to choose from a cube, rectangular prism, triangular prism, or square pyramid. He knows that whatever he chooses will impact what his friend, Miguel, will need to build. If you were Tyrese, what structure would you build? Once he chooses his structure, 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.
Bot could you please explain this simply to me I really don't understand

Answer 1

Thanks, but does 3^2 mean 3 times 2, or 3 to with an exponent of 2

Answer 2

Tysm, have a good day!

Answer 3

One more thing that might sound stupid. I think it's only for triangles, but instead of an exponent of 2, can't we divide it by one half?

Answer 4

If I were Tyrese, I would build a cube because all 4 of its sides are equal, and it would make it easier to double than other shapes.
I chose the number 3 for my number, and now I know all of them. To find the surface area of a cube, I need to use this formula: 6 x (side length) with an exponent of 2. That means the formula would be 6 x (3^2) = 6 x 9 = 54.
If Miguel doubles it, instead of 3 inches, it’ll be 6. That means the new formula is: 6x(6^2) = 6 x 36 = 216 square units.
So when the dimensions are doubled, it increases by 4 (54 ➡➡ 216) because doubling dimensions increases the area of each face of a cube 4(2^2 = 4).
**I also added a picture of a cube but I can't copy and paste it**