we have that
Hypothesis:---------> Volumes of both figures are equal.
so
we know that
step 1
volume of Figure 1 =area ob the base *height
area of the base=5*7=35 cm²
height=8 cm (distance perpendicular to the base)
volume of Figure 1=35*8=280 cm³
step 2
volume of Figure 2 =area ob the base *height
area of the base=5*7=35 cm²
height=8 cm
volume of Figure 1=35*8=280 cm³
the height perpendicular to the base is the same in both figures, therefore the volumes are equal
since
you can conclude that
volume figure N 1 is equal to volume figure N 2
Hence
The hypothesis was correct