Question

I AM CALLING ALL ACES, EXPERTS, SMARTY PANTS, ETC!!! :)) (MATH 50 POINTS)

Answer 1

10. The volume of the triangular prism is $V=A_{base}\cdot H=\dfrac{1}{2} height \cdot base\cdot H$, then

$V=\dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=23.1$.

11. The volume of the triangular pyramid is $V=\dfrac{1}{3}A_{base}\cdot H=\dfrac{1}{3}\cdot \dfrac{1}{2} height \cdot base\cdot H$, then

$V=\dfrac{1}{3}\cdot \dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=7.7$.

12. They have common base (common triangle). y=7.7, r=23.1, then r:y=23.1:7.7=3.

13. See 10 and 11 for notations in symbols.