Respuesta :
Given
Karen is painting the floor and four walls of a basement.
The basement is 12.0 m long, 4.0 m wide, and 2.5 m high.
Paint comes in 4 L cans.
One litre of paint covers 10 m.
To find:
a) What area does Karen need to paint?
b) How many cans of paint does Karen need?
Explanation:
It s given that,
Karen is painting the floor and four walls of a basement.
The basement is 12.0 m long, 4.0 m wide, and 2.5 m high.
Paint comes in 4 L cans.
One litre of paint covers 10 m.
That implies,
a)
The area Karen needed to paint is,
[tex]\begin{gathered} SA=lw+2lh+2wh \\ =12\times4+2\times12\times2.5+2\times4\times2.5 \\ =48+60+20 \\ =128m^2 \end{gathered}[/tex]Hence, the area Karen needed to paint is 128m².
b) The number of cans of paint Karen needed is,
[tex]\begin{gathered} One\text{ }litre\text{ }of\text{ }paint\text{ }covers\text{ }=10m^2 \\ One\text{ }can\text{ }of\text{ }paint\text{ }covers=\text{ }4L\text{ }of\text{ }paint\text{ }covers \\ =4\times1L\text{ }of\text{ }paint\text{ }covers \\ =4\times10 \\ =40m^2 \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} Total\text{ }area=128m^2 \\ n\times1\text{ }can\text{ }of\text{ }paint\text{ }covers=128m^2 \\ n\times40=128 \\ n=\frac{128}{40} \\ n=\frac{32}{10} \\ n=3.2 \end{gathered}[/tex]Hence, Karen needs a little more than 3 cans. So the answer is 4 Cans.
