SOLUTION: Volume of a Bird Cage. A company makes rectangular shaped bird cages with height b inches and square bottoms. The volume of these cages is given by the function V b 6 9 b b = 3 2

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Question 1205680: Volume of a Bird Cage. A company makes rectangular shaped bird cages with height b inches and square bottoms.
The volume of these cages is given by the function V b 6 9 b b = 3 2 − + .
(i) Find an expression for the length of each side of the square bottom.
(ii) Use the function to find the volume of a cage with a height of 18 inches.
(iii) Use the remainder theorem to find the volume of a cage with a height of 15 inches
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
v=xb%2Ab
v=xb%5E2, height x, bottom b by b

The length of the square bottom seems to be given as b. This would be answer for part i.

ii.
x=18 inches;
v=18b%5E2

Something seems lacking in the description or questions.

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
Volume of a Bird Cage. A company makes rectangular shaped bird cages with height b inches and square bottoms.
The volume of these cages is given by the function V b 6 9 b b = 3 2 − + .
(i) Find an expression for the length of each side of the square bottom.
(ii) Use the function to find the volume of a cage with a height of 18 inches.
(iii) Use the remainder theorem to find the volume of a cage with a height of 15 inches
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