The surface area ratio between the original and larger rectangular prism.
Answer to Problem 24STP
The surface area ratio between the original and larger rectangular prism is
Explanation of Solution
The surface area of the rectangular prism is calculated by using the following expression:
Where,
Width of rectangular prism:
Length of rectangular prism:
Height of rectangular prism:
Now, the sides of rectangular prism gets tripled then the surface area of this new or larger rectangular prism is given by:
Where,
Width of larger rectangular prism:
Length of larger rectangular prism:
Height oflarger rectangular prism:
Now, take the ratio of eq. (1) and (2):
Conclusion:
Hence, the ratio is derived as
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