Answer:
See explanation
Step-by-step explanation:
1. The first figure shows triangular prism. The volume of the triangular prism is
[tex]V=\text{Base area}\times \text{Height}[/tex]
The base of this triangular prism is the triangle with the base of 7 cm and height of [tex]h[/tex] cm (it is not seen).
The base area is
[tex]\text{Base area}=\dfrac{1}{2}\times \text{Base}\times \text{Height}=\dfrac{1}{2}\times 7\times h=\dfrac{7h}{2}\ cm^2[/tex]
and the volume of the prism is
[tex]V=\dfrac{7h}{2}\times 13=\dfrac{91h}{2}\ cm^3[/tex]
Just substitute the length of the height and calculate the volume.
2. The second figure shows square pyramid. The volume of the square pyramid is
[tex]V=\dfrac{1}{3}\times \text{Base area}\times \text{Height}[/tex]
The base of this square pyramid is the square with the side length of 4 yd.
The base area is
[tex]\text{Base area}= \text{Side Lenght}^2=4^2 =16\ yd^2[/tex]
and the volume of the pyramid is
[tex]V=\dfrac{1}{3}\times 16\times 12=64\ yd^3[/tex]
