Question

Please Help..............................

Answer 1

Question 1:

By definition, the surface area of a cube is given by:

`A = 6L ^ 2`
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:

`A = 6 (2) ^ 2 A = 6 (4) A = 24cm ^ 2`
Answer:
The total surface area that will be painted is:

`A = 24cm ^ 2`
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)`
Where,
h: height
l: length
w: width
Substituting values we have:

`A = 2 * (5 * 4) + 2 * (5 * 2) + 2 * (2 * 4) A = 76 m ^ 2`
Answer:
The surface area of the rectangular prism is:

`A = 76 m ^ 2`

Question 3:
By definition, the volume of a cube is given by:

`V = L ^ 3`
Where,
L: length of the sides of the cube
Substituting values we have:

`V = 4.2 ^ 3`
Making the corresponding calculation we have:

`V = 74,088 in ^ 3`
Answer:
The volume of the cube is given by:

`V = 74.1 in ^ 3`