find lateral area and surface area of the prism
Answers
Given: A prism with particular dimensions
To find: The lateral surface area and total surface area.
Solution:
- Now we have given the triangular prism with basas right triangle with dimensions 8m , 9m and 12.04m .
- So the area of two triangles will be:
area of two triangles = 2 (1/2 x b x h ) = b x h
area of two triangles = 9 x 8 = 72 m^2
- Now the lateral surface area will be:
lateral surface area = (l1 x b1)+(l2 x b2)+(l3 x b3)
lateral surface area = ( 23 x 12.04)+(23 x 9)+(8 x 23)
lateral surface area = 276.92 + 207 + 184
lateral surface area = 667.92 m^2
- Now the total surface area will be:
Total surface area = lateral surface area + area of two triangles
Total surface area = 667.92 m^2 + 72 m^2
Total surface area = 739.92 m^2
Answer
So the area approx is lateral surface area is 668 m^2 and total surface area is 740 m^2.