Answer:
In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.
(a)
This is a trapezoidal prism, which is defined as
[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]
(b)
This is a triangular prism, which is defined as
[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]
(c)
In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as
[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]
