The surface area of the shape is 194 square units and the volume of the figure is 620 cubic feet
The surface area of the shape
To do this, we simply calculate the area of each face, and add up the individual areas.
So, we have:
Surface area = Top areas + 2 * Side areas + Back area
This gives
Surface area = (6 * 4 + 3 * 4 + 5 * 4 + 3 * 4) + 2 * (6 * 6 + 5 * 3) + 6 * 4
Evaluate
Surface area = 194
Hence, the surface area of the shape is 194 square units
The volume of the shape
To do this, we simply calculate the volume of the box, and the volume of the prism, then add up the individual areas.
So, we have:
Volume = Box + Prism
This gives
Volume = 10 * 8 * 6.5 + 0.5 * 8 * 10 * 2.5
Evaluate
Volume = 620
Hence, the volume of the figure is 620 cubic feet
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