Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale. The bases are right triangles.
Answers
Given : A triangular Prism with dimensions
To find : lateral area and surface area of the given prism.
Solution:
Lateral area = perimeter * height
Perimeter = 4 + 8 + 8.94 = 20.94 m
Lateral Area = 20.94 * 41 = 858.54 m²
Surface area = lateral Area + 2 ( Base Area)
Base Area = area of triangle with side 4 , 8 & 8.94
s = ( 4 + 8 + 8.94)/2 = 10.47 m
Area of triangle = √(10.47 (10.47 - 4)(10.47 - 8)(10.47 - 8.94))
= √(10.47 (6.47)(2.47)(1.53))
= 16 m²
Surface area = 858.54 + 2 ( 16)
= 890.54 m²
Lateral Area = 858.54 m²
Surface area = 890.54 m²
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Step-by-step explanation:
radius of the base is 4.47m
Curved surface are of cylinder excluding the upper triangle = πr²h
=22/7×(4.47)²×41
= ?