To determine how much wood the carpenter will need we have to find the surface area of the jewelry box. To do this we need to notice that the box is made of:
• Two traingles with base 3 in and height 4 in.
,
• One rectangle with length 5 in and width 2 in.
,
• One rectangle with length 3 in and width 2 in.
,
• One rectangle with length 4 in and width 2 in.
Now, we find tha area of each part of the box and add them to get the surface area.
The area of a triangle is given by:
[tex]A_T=\frac{1}{2}bh[/tex]
The area of a rectangle is given by:
[tex]A_R=lw[/tex]
Hence the total area is given by:
[tex]\begin{gathered} A=2\cdot\frac{1}{2}(3)(4)+(5)(2)+(3)(2)+(4)(2) \\ A=36 \end{gathered}[/tex]
Therefore, the carpenter will need 36 square inches of wood.
