a diagonale di un quadrato misura \( 63,63 \mathrm{~cm} \). Calcola l'area della superficie totale di un prisma retto avente eer base il quadrato sapendo che l'altezza del prisma è \( \frac{4}{3} \) del lato del quadrato. \( \left[14850 \mathrm{~cm}^{2}\right] \)

Find equation of straight line through \( (-1,4) \) and perpendicular to the line passing through \( (3,0) \) and \( (1,-2) \).

102. The sides of right-angled triangle, containing \( \sqrt{ } 3 \) the right-angle, are \( 5 x \mathrm{~cm} \) and \( (3 x-1) \mathrm{cm} \). Calculate the length of the hypotenuse of the triangle, if its area is \( 60 \mathrm{~cm}^{2} \).

111. The sum of the length, breadth and height of a cuboid is 38 cm and the length of its \( \vee \backslash \) diagonal is 22 cm . Find the surface area of the cuboid. Given : \( 1+b+h=38 \) and \( P^{2}+b^{2}+h^{2}=22^{2} \) To find : \( 2(l b+b h+h l) \)

Volume of a Cone \( =\frac{1}{3} \pi r^{2} h \)

Soit \( A B C \) un triangle. Eet \( F \) deux points tel que: \( \overrightarrow{B E}=2 \overrightarrow{A C} \quad \) et \( \overrightarrow{C F}=\frac{1}{2} \overrightarrow{A B} \) 1) Construire les points \( E \) et \( F \). 2) Montrer que : \( \overrightarrow{A E}=\overrightarrow{A B}+2 \overrightarrow{A C} \quad \) et \( \overrightarrow{A F}=\frac{1}{2} \overrightarrow{A B}+\overrightarrow{A C} \)