Question 1:
By definition, the surface area of a cube is given by:
![A = 6L ^ 2 ](https://tex.z-dn.net/?f=A%20%3D%206L%20%5E%202%0A)
Where,
L: length of the sides of the cube
Since each side measures 2 centimeters, then we must substitute the value of L = 2 in the given equation.
We have then:
Answer:
The total surface area that will be painted is:
option 2.
Question 2:
By definition, the surface area of a rectangular prism is given by:
![A = 2 (w * l) + 2 (w * h) + 2 (h * l) ](https://tex.z-dn.net/?f=A%20%3D%202%20%28w%20%2A%20l%29%20%2B%202%20%28w%20%2A%20h%29%20%2B%202%20%28h%20%2A%20l%29%0A)
Where,
h: height
l: length
w: width
Substituting values we have:
Answer:
The surface area of the rectangular prism is:
Question 3:
By definition, the volume of a cube is given by:
![V = L ^ 3 ](https://tex.z-dn.net/?f=V%20%3D%20L%20%5E%203%0A)
Where,
L: length of the sides of the cube
Substituting values we have:
![V = 4.2 ^ 3 ](https://tex.z-dn.net/?f=V%20%3D%204.2%20%5E%203%0A)
Making the corresponding calculation we have:
Answer:
The volume of the cube is given by: