Question

twenty-five cubes of equal size are stacked in a single vertical column. If the volume of one cube equals 8 cubic unites, what is the surface area of the entire figure in square units? a)200 b)204 c)208 d)408 or e)612

Answer 1

Well, if a cube has a volume of 8 units, it must have a sidelength of 2 units. That being said, each face has an area of 4 square units. Now let us progress and find out how many "face" units this object has. It will be a tall rectangular prism with sides of 25 faces long and the base and top will be one face unit big. So we have 4 sides each with a length of 25 faces long. and 2 extra face units (base and top). So we have the number of face units as:
\[4(25)+2=100+2=102\]
We can finish by specifying that each face unit is 4 square units big so the total surface area is:
\[102\times4=408=d)\]

Answer 2

THANK YOU!! THAT HELPED A LOT.