El volumen de una pirámide es \( 32 \mathrm{~cm}^{3} \), un plano paralelo al plano de la base pasa por los puntos me- dias de las aristas laterales. Determina el volumen de la pirámide parcial que se forma.

An equilateral triangle it's perimeter equals 27 cm , then it's side length is......

Find the area of a parallelogram \( A B C D \) whose bese \( B C \) is 27 cm and altitude \( A E \) is 8 cm . If the lengh of the altitude \( A F \) to the base \( C D \) is 12 cm . Find \( C D \).

ABCD is a trapezoid where \( \overline{\mathrm{AB}} / / \overline{\mathrm{CD}}, \mathrm{A}(9,-2), \mathrm{B}(3,2) \) , \( \mathrm{C}(x,-x) \) and \( \mathrm{D}(4,-3) \) Find the coordinates of the point C

14. Find the radius of a hemisphere of volume \( 80 \mathrm{~cm}^{3} \)

9. In the given figure \( D L \) and \( B M \) are the heights corresponding to sides \( A B \) and \( A D \) respectively of parallelogram \( A B C D \). If the area of parallelogram is \( 300 \mathrm{~cm}^{2}, A B=30 \mathrm{~cm} \) and \( A D=20 \mathrm{~cm} \). Find the length of \( B M \) and \( D L \).