Emily forms a closed box from a rectangular piece of cardboard by cutting along solid línes and folding along dashed segments. She glues the square corner flaps of side length a to the sides they overlap when they are folded. She then folds the right side of the pattern over the left side. The narrow rectangle in the center of the pattern forms a side of the box. To close the lid, Emily tucks the sides of the lid inside the sides of the bottom. 14 in. 32 in. Part A Find a polynomial function for the volume. Enter the correct equation in the box. Hint V(x) =D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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Emily forms a closed box from a rectangular piece of cardboard by cutting along solid lines and folding along
dashed segments. She glues the square corner flaps of side length x to the sides they overlap when they are
folded. She then folds the right side of the pattern over the left side. The narrow rectangle in the center of the
pattern forms a side of the box. To close the lid, Emily tucks the sides of the lid inside the sides of the bottom.
14 in.
32 in.
Part A
Find a polynomial function for the volume.
Enter the correct equation in the box.
Hint
V(x) =
%3D
Transcribed Image Text:Emily forms a closed box from a rectangular piece of cardboard by cutting along solid lines and folding along dashed segments. She glues the square corner flaps of side length x to the sides they overlap when they are folded. She then folds the right side of the pattern over the left side. The narrow rectangle in the center of the pattern forms a side of the box. To close the lid, Emily tucks the sides of the lid inside the sides of the bottom. 14 in. 32 in. Part A Find a polynomial function for the volume. Enter the correct equation in the box. Hint V(x) = %3D
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