Question

Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. How much space does Lacey's mom cover in frosting?

Answer 1

220 in.²

Explanation:

top face - rectangle: A = LW = 4 in. × 2 in. = 8 in.²

bottom face - rectangle: A = LW = 9 in. × 2 in. = 18 in.²

left face - rectangle: A = LW = 12 in. × 2 in. = 24 in.²

right upper face - rectangle: A = LW = 8 in. × 2 in. = 16 in.²

right lower face - rectangle: A = LW = 4 in. × 2 in. = 8 in.²

middle horizontal face - rectangle: A = LW = (9 - 4) in. × 2 in. = 10 in.²

front L-shaped face - 2 rectangles: A = (12 × 4 + 5 × 4) in.² = 68 in.²

back L-shaped face - same as front L-shaped face: A = 68 in.²

total surface area = (8 + 18 + 24 + 16 + 8 + 10 + 68 + 68) in.²

total surface area = 220 in.²