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Anne's bakery offers personalized cakes for children's birthday parties and other special occasions. the bakery once the volume of escape to be 351 cubic inches. the rectangle cake has a length of four inches longer than its width and its height is one-third of its width. what should be the dimension of the cake pan? ​

Sagot :

KallesEliasidn

Problem:

Anne's bakery offers personalized cakes for children's birthday parties and other special occasions. the bakery once the volume of escape to be 351 cubic inches. the rectangle cake has a length of four inches longer than its width and its height is one-third of its width. what should be the dimension of the cake pan? ​

Given:

V = 351 in³

L = 4 + W

H = (1/3)W

Solution:

V = LWH

351 = (4 + W)(W)(W/3)

351(3) = (4 + W)(W)(W)

1053 = 4W² + W³

W³ + 4W² - 1053 = 0

(W - 9)(W² + 13W + 117) = 0

W = 9

Checking:

L = 4 + W

L = 4 + 9

L = 13 in

H = (1/3)W

H = W/3

H = 9/3

H = 3

V = 351 in³

LWH = 351

13(9)(3) = 351

351 = 351 ; ok

Answer:

The dimension of the cake pan is

L = 13 in

W = 9 in

H = 3 in

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