Answer:
Surface Area: 155.98 yd²
Volume = 145.02 yd³
Step-by-step explanation:
Ok this might take a while to explain lol. First, to find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure.
So first, we do the area of the triangle:
Equation: height base/2 which is 3 • 5/2 = 7.5
Next, the area of the rectangular prism:
Equation: 2(width • length + height • length + height • width)
Which is, 2·(2.8 · 8 + 4.8 · 8 + 4.8 · 2.8) = 148.48
The next step is to add the areas of the 3D figures together, so
7.5 + 148.48 = 155.98 (Surface area = 155.98 yd²)
Next, we do the volume:
To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape.
I don't think it's necessary to re-draw anything, so just look at the figures as 3-dimensional shapes and find the volume the normal way.
Equation: 0.5 • base • height • length = 0.5 • 3 • 5 • 5
0.5 • 3 • 5 • 5 = 37.5 (Volume = 37.5)
Then finally, we do the volume of the rectangular prism:
Equation: width • height • length =2.8 · 4.8 · 8
2.8 • 4.8 • 8 = 107.52 (Volume = 107.52)
Finally, add the two volumes together and you are all done :)
37.5 + 107.52 = 145.02 (Volume = 145.02 yd³)
