una pizzeria hace pizzas de varios tamaños y las vende en cajas hexagonales de 39 cm de lado y 4.7 cm de alto ¿que cantidad de cartón se anestesia para cada caja teniendo en cuenta q la caja esta formado por dos partes compuestas de una base lateral ?

Area de la base es un hexagono: Nota: asumiendo que 39 cm son el lado de un hexagono. Menuda pizza.

A = 3*sqrt(3)/2*a^2 = 3*sqrt(3)/2*39^2 = 3951.67391746839972 cm^2

Hay dos base y tapa, doble:

7903.34783493679944 cm^2

Luego los lados verticales:

6 * 39 * 4.7 = 1099.8 cm^2

TOtal = 9003.14783 = 9003.147 cm^2 = 9003.15 cm^2

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Lanuel Lanuel · Answer 2 · 2022-06-02T13:34:30+02:00

The amount of cardboard that is anesthetized for each hexagonal box is equal to 9009 cm².

How to calculate the amount of cardboard?

In order to determine the amount of cardboard that is anesthetized for each box, we would solve for the total area of the hexagonal boxes.

First of all, we would determine the missing side length by applying Pythagorean theorem:

c² = a² + b²

39² = 19.5² + b²

1521 = 380.25 + b²

b² = 1521 - 380.25

b = √1,140.75

b = 33.8 cm.

For the base area, we have:

Base area = (P × b)/2

Base area = (234 × 33.8)/2

Base area = 7,909.2/2

Base area = 3,954.6 cm².

For the lateral area, we have:

Lateral area = 234 × 4.7

Lateral area = 1099.8 cm².

Now, we can determine the total area:

Total area = 1099.8 + 2 × (3954.6)

Total area = 1099.8 + 7909.2

Total area = 9009 cm².

Read more on hexagons here: https://brainly.com/question/1969956

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