We have to write an hypothesis that compares the volumes of the two prisms.
We can infere that the two volumes are the same. Then, we can write the hypothesis as: "the volume of the prism of Figure 1 is equal to the volume of the prism of Figure 2".
The prism volume can be expressed as the area of the base times the height.
As the height is the distance between the base and the top and is measures perpendicularly to both the base and the height, we know that the two prisms have the same height (8 ft), although the prism of Figure 1 have the base and the top not aligned.
The base of the two prisms is also the same: width of 5 cm and length of 7 cm.
Then, if the base area and the height of the prism is the same, then their volumes are also the same.
We can calculate the volume as:
![\begin{gathered} V=A_b\cdot h \\ V=(7\operatorname{cm}\cdot5\operatorname{cm})\cdot8\operatorname{cm} \\ V=280\operatorname{cm}^3 \end{gathered}]()
Answer:
a. The volume of the prism of Figure 1 is equal to the volume of the prism of Figure 2.
b. The volume is 280 cm³. The hypothesis is correct because the volumes of the prism are the same.