SOLUTION: the surface area of a cube is 294 sq. cm. what is the ratio of the number of square centimeters in the surface area of the cube to the number of cubic centimeters in the volume of

Algebra ->  Surface-area -> SOLUTION: the surface area of a cube is 294 sq. cm. what is the ratio of the number of square centimeters in the surface area of the cube to the number of cubic centimeters in the volume of       Log On


   



Question 1078973: the surface area of a cube is 294 sq. cm. what is the ratio of the number of square centimeters in the surface area of the cube to the number of cubic centimeters in the volume of a cube? write your answer as a simplified fraction
Answer by josmiceli(19441) About Me  (Show Source):
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There are 6 faces on a cube
+294%2F6+=+49+
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The area of 1 face is 49 cm2
The length of a side of one of the faces is:
+s+=+sqrt%2849%29+
+s+=+7+
Find the volume of the cube
+V+=+s%5E3+
+V+=+7%5E3+
+V+=+343+
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+294+%2F+343++=+42%2F49+
+42%2F49+=+6%2F7+