Find the outer dimension of the mold if it is to hold 112 cubic centimeters of chocolate.
The outer dimensions are
Given:
The mold’s outer dimensions is in the ratio 1:3:6.
The mold have a thickness of 1 centimeter in all dimensions.
The choclate mold shape is like a hollow rectangular prism.
Calculation:
The diagram for the mold’s can be drawn as shown below
The mold’s outer dimensions is in the ratio 1:3:6.
So, let
The mold have a thickness of 1 centimeter in all dimensions.
Therefore, the inner volume for the mold is given by
It has been given that the mold can hold 112 cubic centimeters of chocolate.
Hence,
Graph the equations
Therefore, the value for x is
Hence, the outer dimensions are
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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