Answer:
The volume of the prism will be given by 204.7 cubic cm.
Step-by-step explanation:
The area of a triangle whose three side lengths are given is equal to
Δ = [tex]\sqrt{s(s - a)(s - b)(s - c))}[/tex] .......... (1)
Where, a, b, and c are the three side lengths and s is the half perimeter i.e.
[tex]s = \frac{a + b + c}{2}[/tex] ......... (2)
Now, in our case, [tex]s = \frac{6 + 7 + 6}{2} = 9.5[/tex] {From equation (2)}
So, Δ = [tex]\sqrt{9.5(9.5 - 6)(9.5 - 7)(9.5 - 6)} = 17.05[/tex] sq. cm.
{From equation (1)}
Hence, the volume of the prism will be given by (17.05 × 12) = 204.7 cubic cm. (Answer)
