Question

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Answer 1

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 = $\sqrt{s(s - a)(s - b)(s - c))}$ .......... (1)

Where, a, b, and c are the three side lengths and s is the half perimeter i.e.

$s = \frac{a + b + c}{2}$ ......... (2)

Now, in our case, $s = \frac{6 + 7 + 6}{2} = 9.5$ {From equation (2)}

So, Δ = $\sqrt{9.5(9.5 - 6)(9.5 - 7)(9.5 - 6)} = 17.05$ sq. cm.

{From equation (1)}

Hence, the volume of the prism will be given by (17.05 × 12) = 204.7 cubic cm. (Answer)