The volume of any right prisim is given by \(V = A_b \times h\) where \(A_b\) is the area of the base and \(h\) is the height.
In this case, the base is a triangle and so its area can be found thus:
\(A = \frac{1}{2} b \times h\)
So:
\(V= A_b \times h_p\)
\(V=(\frac{1}{2} \times {b} \times h_b) \times h_p\)
\(V=(\frac{1}{2} \times {5cm} \times 8cm) \times 7cm\)
\(V=20cm^{2} \times 7cm\)
\(V=140cm^{3}\)
