Question

A cabinet is 6 feet high, 3 feet wide and 2 feet long. The entire outside of the cabinet is being painted, except for the bottom. What is the surface area being painted?

Answer 1

Answer:

66ft²

Step-by-step explanation:

The cabinet is rectangular shaped. Using the formula for calculating the surface area of a reactangular bos to solve the problem.

Surface area = 2(LW+WH+LH) where;

L is the length of the cabinet

W is the width of the cabinet

H is the height of the cabinet.

If the entire outside of the cabinet is being painted, except for the bottom, then the surface area of the painted area will be expressed as;

S = LW+2WH+2LH

Given L = 2 feet, W = 3 feet and H = 6 feet

S = 2(3)+2(3*6)+2(2*6)

S = 6+2(18)+2(12)

S = 6+36+24

S = 66 feet²

Hence the surface area of the painted part is 66ft²