Certa empresa, fabrica embalagens na forma de um paralelepipedo retângulo de dimensōes \( 8 \mathrm{~cm}, 10 \mathrm{~cm} \) e 20 cm , conforme figura abaixo. Determine o volume ocupado pelo sôlido e a quantidade (área total) de material para produzir essa caixa.

\( \begin{array}{lccc}\text { El área } & \text { del } & \text { paralelogramo } \\ \text { formado } & \text { por } & \text { el } & \text { vector } \\ \vec{A}=3 i- & j-2 k & \text { y } & \text { el } \\ \text { vector } & \vec{B}= & -2 j-3 k \\ \text { equivale a } & & \end{array} \)

Directions: Determine whether a triangle with sides of the given lengths is a right triangle. Justify your answer and show all work receive full credit. 14.60 feet, 80 feet, 100 feet \( \quad \mathrm{C}^{2}=9^{2}+t^{2} \)

Directions: Answer the following word problems by making a diagram and including units in your answer. Show all your work to receive full credit. 16. LADDER A 10-foot ladder is leaning against a house. The base of the ladder is 5 feet from the side of the house. At what height does the ladder touch the house? Round to the nearest tenth if necessary.

11 Find the unknown angles in the figure and place the correct value into the box. Assume that the lines are parallel. DRAG \& DROP THE ANSWER Note: Use CTRL+D to drag the option via keyboard

Directions: Answer the following word problems by making a diagram and including units in your answer. Show all your work to receive full credit. 16. LADDER A 10-foot ladder is leaning against a house. The base of the ladder is 5 feet from the side of the house. At what height does the ladder touch the house? Round to the nearest tenth if necessary. 17. ROSES The Garden Club has a garden in the shape of a right triangle. If one leg is 16 feet long and the hypotenuse is 20 feet long, how long is the remaining leg, along which the roses are planted? Round to the nearest tenth if necessary.