Answer:
470 cm³
Explanation:
You want the volume of a prism with an L-shaped base.
Volume
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Base area
The base is has an L-shape. Its area can be found by extending the horizontal line to divide the figure into two rectangles.
The top rectangle is 4cm × 5cm, so has an area of ...
A = LW = (4 cm)(5 cm) = 20 cm²
The bottom rectangle is 9 cm × 3 cm, so has an area of ...
A = LW = (9 cm)(3 cm) = 27 cm²
Then the total base area is ...
B = (top rectangle area) + (bottom rectangle area)
B = (20 cm²) +(27 cm²) = 47 cm²
Prism volume
Then the volume is ...
V = Bh = (47 cm²)(10 cm) = 470 cm³
The volume of the prism is 470 cm³.