SOLUTION: the length of a box is L. the width is 4 less than the length. the height is 3 more than twice the width. a. write an expression for the width in terms of L. b. write an expressi

Algebra ->  Parallelograms -> SOLUTION: the length of a box is L. the width is 4 less than the length. the height is 3 more than twice the width. a. write an expression for the width in terms of L. b. write an expressi      Log On


   

Question 99965: the length of a box is L. the width is 4 less than the length. the height is 3 more than twice the width.
a. write an expression for the width in terms of L.
b. write an expression for the height in terms of L.
c. find the volume of the box if L = 10
Found 2 solutions by checkley71, doukungfoo:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
L=LENGTH
W=L-4
H=2(L-4)+3
V=10*(10+4)
V=10*14
V=140*(12+3)
V=140*15
V=2100 TOTAL VOLUME OF THE BOX.

Answer by doukungfoo(195) About Me  (Show Source):
You can put this solution on YOUR website!
write and expression for width in terms of L
Given: width is 4 less than the length
width = L - 4

write an expression for height in terms of L
Given: height is 3 more than twice the width
since width is equal to L-4
height = 3 + 2(L - 4)

find the volume of the box if L = 10
Known: Volume equals length times width times height
V=%28L%29%28W%29%28H%29
V=%28L%29%28L-4%29%283%2B2%28L-4%29%29
V=%2810%29%2810-4%29%283%2B2%2810-4%29%29
V=%2810%29%286%29%283%2B2%286%29%29
V=%2810%29%286%29%283%2B12%29
V=%2810%29%286%29%2815%29
V=%2860%29%2815%29
V=900