Answer:
Question (a)
Surface area of a cube = [tex]6x^2[/tex] Â (where [tex]x[/tex] is an edge length)
⇒ surface area = 6 × 3²
             = 6 × 3 × 3
             = 6 × 9
             = 54 in²
Volume of a cube = [tex]x^3[/tex] Â (where [tex]x[/tex] is an edge length)
⇒ volume = 3³
         = 3 × 3 × 3
         = 27 in³
Question (b)
To find the area of a dilated figure, simply multiply the original area by the scale factor squared:
Surface area = [tex]6x^2[/tex] × sf² Â
           = 54 × 0.5²
           = 13.5 in²
To find the volume of a dilated figure, simply multiply the original volume by the scale factor cubed:
Surface area = [tex]x^3[/tex] × sf³
           = 27 × 0.5³
           = 3.375 in³
