Question

If each side of a cube is halved, its surface area will be __________________.

(a) halved (b) one-fourth (c) doubled (d) same

Answer 1

b)

Explanation:

Surface area of a cube = 6a² , here a is the side of cube

When side is halved, side = a/2

Now, the surface area of new cube = 6* (a/2)²

=
`6*(a^(2))/(4)=(1)/(4)*6a^(2)\\`

= one fourth of the cube