pls help !!~
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)
The bases are right triangles.
=> Base area = (1/2) 4 * 8 = 16 cm²
or area of triangle with side 4 , 8 & 8.94
s = ( 4 + 8 + 8.94)/2 = 10.47 m
Base area = √(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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