A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an open box is constructed by cutting equal squares of side- length x inches from the corners of the piece of cardboard and turning up the sides as shown in the figure If the length of the Determine the volume, V, of the box as a function of x and y.

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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A rectangular piece of cardboard is 4 times
as long as it is wide.
shorter side is y inches and an open box is
constructed by cutting equal squares of side-
length x inches from the corners of the piece of
cardboard and turning up the sides as shown
in the figure
If the length of the
Determine the volume, V, of the box as a
function of x and y.
Transcribed Image Text:A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an open box is constructed by cutting equal squares of side- length x inches from the corners of the piece of cardboard and turning up the sides as shown in the figure If the length of the Determine the volume, V, of the box as a function of x and y.
.2,
3
1. V(x, y) = 4.xy² + 10x²y+ 2x cu. ins
2. V(x, y) = 4xy² – 10z²y + 4x³ cu. ins
-
.2,
3. V(x, y) = 10xy? – 4x²y + 2x³ cu. ins
2
4. V(x, y) = 4xy? – 10x²y – 4x³ cu. ins
-
5. V(r, y) = 10xy² + 4x²y – 4.x³ cu. ins
6. V(x, y) = 10xy² + 4x²y – 2x³ cu. ins
-
Transcribed Image Text:.2, 3 1. V(x, y) = 4.xy² + 10x²y+ 2x cu. ins 2. V(x, y) = 4xy² – 10z²y + 4x³ cu. ins - .2, 3. V(x, y) = 10xy? – 4x²y + 2x³ cu. ins 2 4. V(x, y) = 4xy? – 10x²y – 4x³ cu. ins - 5. V(r, y) = 10xy² + 4x²y – 4.x³ cu. ins 6. V(x, y) = 10xy² + 4x²y – 2x³ cu. ins -
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