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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. |
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Answer» 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 Learn more: The perimeter of a triangular prism is 36 cm and lateral surface area ... a TENT is in the shape of triangle prism resting on a rectangular base ... |
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