Question

Se va a fabricar una caja sin tapa con una pieza cuadrada de carton. Para ello en cada esquina de la pieza cuadrada hay que cortar un cuadrado de 2cm por lado y despues doblar las partes restantes para formar la caja. Si el volumen de la caja sera de 98cm ¿Cuanto debe medir la pieza de carton?

Answer 1

11 cm of side

Explanation:

If we will cut 2 cm from each corner of the square to make the box, the height of the box will be 2 cm.

So, as the base of the box is also be a square, we have that the volume is given by:

Volume = side^2 * height

Then we can find the side of the base:

98 = side^2 * 2

side^2 = 49

side = 7 cm

As the side of the box is 7 cm, and from the original piece it was cut 2 cm from each side, the original side of the square used is 7 + 2 +2 = 11 cm