A triangular prism has a base area of 30 square centimeters and a height of 10 centimeters. Calculate the volume of this triangular prism and then compare it to the volume of a triangular pyramid with the same base area and height.

Una piastrella rettangolare con le dimensioni di 36 cm e 24 cm presenta un decoro a forma di rombo le cui diagonali sono congruenti alle dimensioni della mattonella. a. Qual è l'area del decoro? b. Qual è l'area di ognuno dei triangoli in arancio?

If \( \triangle D E F \cong \angle B C A \), write the part that corresponds to: \( \begin{array}{ll}\text { (a) } \angle E & \text { (b) } \overline{E F} \\ \text { (c) } \angle F & \text { (d) } \overline{D F}\end{array} \)

Fig 9.16 \( A B C \) is isosceles with \( A B=A C=7.5 \mathrm{~cm} \) and \( \mathrm{BC}=9 \mathrm{~cm} \) (Fig 9.17). The height \( A D \) frum \( A \) to \( B C \), is 6 cm . Find the area of \( \triangle A B C \). What will be the height from \( C \) wABie., \( C E \) ?

Find the equation of the plane that passes through the point \( P(1,2,3) \) and has the normal vector \( \mathbf{N}=[2,-1,4] \).

The plane with the equation \( 3 x+2 y-z=6 \) has a normal vector: