To compare:The lateral areas of a rectangular prism and triangular prism.
Answer to Problem 44HP
The compression of two lateral areas is the ratio
Explanation of Solution
Given data:
The heights of a rectangular prism and triangular prism are same but base of triangular prism is isosceles
Concept used:
The area of a triangle is
Calculations:
Suppose the dimensions of base of rectangular prism is
Now, the lateral areaof the rectangular prism
Now, the lateral area of the triangular prism
Where p is length of perpendicular from centroid of the triangle to equal sides.
The compression of two lateral areas is the ratio
Conclusion:
The compression of two lateral areas is the ratio
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