Question

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Answer 1

We first must determine the height. Do do this we solve with pythagorean theorem.

\(\LARGE\bf{a^{2}+b^{2}=2a^{2} \rightarrow \color{orange}{2a^{2} - a^{2} = b^{2} }\rightarrow \color{red}{b =a }}\)

Now that we know our height we plug it into the formula for `Volume` of a triangular prism.

\(\huge\bf{V=(\frac{1}{2} b \times h) \times h_{2}}\)

Input.

\(\huge\bf{V=(\frac{1}{2} a \times a) \times 3a}\)