Concept explainers
To calculate:To determine if the below statement is true or false. If false, replace the underlined word or number to make a true statement -
The volume of a prism is the sum of the areas of its lateral faces.
Answer to Problem 2SGR
The statement “The volume of a prism is the sum of the areas of its lateral faces.” is False.
The correct statement is - The lateral surface area of a prism is the sum of the areas of its lateral faces.
Explanation of Solution
Given information:
Given statement is - The volume of a prism is the sum of the areas of its lateral faces.
Formula Used:
Definition of Lateral Surface Area of a Prism - The lateral surface area of a prism is the sum of the areas of its lateral faces.
Calculation:
Given statement is - The volume of a prism is the sum of the areas of its lateral faces.
From the abovedefinition of Lateral Surface Area of a Prism, the statement “The volume of a prism is the sum of the areas of its lateral faces.” is False.
The correct statement is - The lateral surface area of a prism is the sum of the areas of its lateral faces.
Conclusion:
The statement “The volume of a prism is the sum of the areas of its lateral faces.” is False.
The correct statement is - The lateral surface area of a prism is the sum of the areas of its lateral faces.
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