Possible Dimensions: The height is at least 38 inches, and the base side length of the mailer is at least about 10.39 inches
B
b
Height: 38 inches Side Base Length: About 10.39 inches
Practice makes perfect
a
A mailer in the shape of a triangular prism needs to hold a poster that is almost 38 inches long and has a maximum rolled diameter of 6 inches. Let's choose an equilateral triangle to be a base of the prism.
Now we will find the dimensions of the prism h and s such that the poster will fit into. Since the poster is almost 38 inches long, the height of the mailer should be at least 38 inches.
Height of Mailer: h≥ 38 t.ex.'"`UNIQ--premium-00000003-QINU`"'extin.
b
If we want to minimize the surface area of the mailer, the dimensions of the mailer should be as small as possible. From Part A we know that the height should be at least 38 inches, and the side base length should be at least about 10.39 inches.
Height of Mailer: &h≥ 38 in.
Base Side Length of Mailer: &s≥ 10.39 in.
This tells us that we minimize the surface area of the mailer when h=38 inche</premium>s and s=10.39 inches.
