Verified Answer :
Find the area of the rectangular prism minus the area of the bottom of the cabinet.
A = 2(wl+hl+hw) - (lw)
A= 2(4/33+ 63+64/3) - (34/3)
A = 59.994- (4)A = 55.994 ft squared
Answer:
The Area of sides she intend to paint is 52 feet²
Step-by-step explanation:
Given: Height of cabinet = 6 feet
Width of Cabinet = \(1\frac{1}{3}=\frac{3+1}{3}=\frac{4}{3}\:feet\)
Height of cabinet = 3 feet
To find: Surface area of side she intend to paint
Area of side she intend to paint = Area of side 4 walls + Area of top
= Curved surface area of cuboid
+ area of rectangle
= 2 × height × ( length + width )
+ length × width
= \(2\times3\times(6+\frac{4}{3})+6\times\frac{4}{3}\)
= \(6\times(\frac{18+4}{3})+2\times4\)
= \(2\times22+8\)
= 44+8
= 52 feet²
Therefore, The Area of sides she intend to paint is 52 feet²