Answer:
<u>305 in^2</u>
Step-by-step explanation:
First step is always to break up the problem into parts and write out our formulas- in this case, let's solve the easier part first, the bottom rectangular box type shape.
Area of a square or rectangle: A= length * height
Area of a triangle: A = 1/2 * length * height
Each side is 6x2, making each side 12 in^2, times four sides equals 48 in^2
The box also has a bottom, with dimensions of 6x6, equaling 36 in^2. <em>be careful not to include the top, it may be included in this part of the problem that we're splitting up, but it's not in the actual figure</em>.
Next up is the top portion- let's calculate the two triangular sides first. again, A=(1/2)l*h . so, these triangles are (1/2) * 5 * 4 , or 10 in^2 . With two triangular sides that's 20 in^2 total.
And now we only have two sides left, the rectangular parts of the triangular prism. They have a dimension of 5*6, equalling 30, and with two sides its a total of 60 in^2.
All of these sides can be added together:
48 + 36 + 20 + 60 = 305 in^2
