SOLUTION: Fancy cake Bakery has been asked to create a customized cake in the shape of a rectangular pyramid. The volume of the cake must contain one 144 in.³ of cake. The customer specifie

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Question 1142092: Fancy cake Bakery has been asked to create a customized cake in the shape of a rectangular pyramid. The volume of the cake must contain one 144 in.³ of cake. The customer specified that the cake must be exactly 9 inches high. Which of the following could be the dimensions of the rectangular base of the Cake?
A) 4 in by 4 in.
B)5 in by 6 in
C)6 in by 7in
D) 6 in by 8 in

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+V+=+%28+L%2AW%2AH+%29%2F3+
+V+=+144+ in3
+h+=+9+ in
----------------------
+144+=+%28+L%2AW%2A9+%29+%2F+3+
+144+=+3%2A%28+L%2AW+%29+
+L%2AW+=+48+
-----------------------
(a)
+4%2A4+=+16+
(b)
+5%2A6+=+30+
(c)
+6%2A7+=+42+
(d)
+6%2A8+=+48+
The choice is (d)