To find the volume of the given triangular prism.
Answer to Problem 21SGR
972 cubic millimeters
Explanation of Solution
Given:
A rectangular prism
Height,
Right triangular base of the prism:
Height of the right
Base of the right angled triangle
Formula used:
Volume of the prism
where
Volume of a triangle
Calculation:
To find the area of the base, use the following formula.
Area
Putting the values,
So, base area is equal to 54 square centimeters.
To find the volume of the prism, use the following formula.
Volume
Now putting the values,
Conclusion:
Hence, the volume of the given prism is 972 cubic centimeters.
Chapter 12 Solutions
Geometry, Student Edition
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