raw a diagram and solve for the missing measure. round to the nearest tenth
6. chris is mailing his friend a poster that has been rolled up in a long tube. he has a box that
measures 20 inches by 8 inches by 4 inches. what is the maximum length the rolled poster can
be?

Question

Accepted Answer

# Explanation:
## Step1: Encontrar la diagonal de la base
La base del cubo tiene dimensiones $20$ pulgadas y $8$ pulgadas. Usando el teorema de Pitágoras $d_{base}=\sqrt{20^{2}+8^{2}}$
$$
\begin{align*}
d_{base}&=\sqrt{400 + 64}\
&=\sqrt{464}\
\end{align*}
$$
## Step2: Encontrar la diagonal del cubo
La altura del cubo es $4$ pulgadas. Ahora, usamos el teorema de Pitágoras de nuevo con $d_{base}$ y la altura $h = 4$ para encontrar la diagonal del cubo $d$
$$
\begin{align*}
d&=\sqrt{(\sqrt{464})^{2}+4^{2}}\
&=\sqrt{464+16}\
&=\sqrt{480}\
&\approx21.9
\end{align*}
$$

# Answer:
$21.9$ pulgadas

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QUESTION IMAGE

Question

Explanation:

Step1: Encontrar la diagonal de la base

Step2: Encontrar la diagonal del cubo

Answer: