Se necesita construir una caja con base cuadrada y sin tapa de una piéa cuadrada de carton. A esta pieza se le deben cortar 20 cm en cada esquina. Si la caja debe contener \( 32000 \mathrm{~cm}^{3} \). ¿de qué tamaño debe ser la pieza cuadrada de carton?

ai The sides of a big triangle measure 100 m each. The sides of a small triangic measure 10 m less than the sides of the big triangle. fipd the perimeter of the big triangle. (ii) Find the perimeter of the smail trian is the ditference between the two perimeters?

The diameter of a circle measures 20 ft. What is the circumference of the circle?Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

The shorter leg of a right triangle is 9 m shorter than the longer leg. The hypotenuse is 9 m longer than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: Length of the longer leg: Length of the hypotenuse: \( \square \mathrm{m} \)

In this exercise, lines m and n are parallel. Find the measure of each numbered angle.

The length of the longer leg of a right triangle is 20 cm more than twice the length of the shorter leg. The length of the hypotenuse is 22 cm more than twice the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{cm} \) Length of the longer leg: \( \square \mathrm{cm} \) Length of the hypotenuse: \( \square \mathrm{cm} \)