Frans filing cabinet is 6 feet tall 1 1/3 feet wide and 3 feet deep. She plans to paint all sides except the bottom of the cabinet. Find the area of the sides she intends to paint
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