four cubes of volume 125cm3 are joined end to end .find the volume and surface area of the resulting cuboid

Answer 1

make a sketch of visualize what you see

I see two end cubes with 5 faces showing and 2 cubes in the middle with only 4 faces showing

one cube has volume of 125, so each side is 5
(since 5^3 = 125)

so the surface area of one face = 25 cm^2
and we have 2(5) + 2(4) or 18 faces
so the total exposed surface area = 25(18) = 450 cm^2

the volume of the 4 cubes of course is simply 4(125) or 500 cm^3