Clhhf C.
asked • 05/21/25can someone help me find the surface area of this triangular prism.
https://ibb.co/5X5NCZnp
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Doug C. answered • 05/21/25
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Doug C.
Per the comment made by Michael M in the original post, there is no triangle with sides 6,6,4 that has an altitude of 5.2. The altitude should have been specified as 3.77 (approx). So the area of each triangular base is actually 11.31. Poorly designed problem.
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05/21/25
Doug C.
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05/21/25
The surface area of any prism can be found using the formula SA=ph+2B, where:
p=perimeter of base
h=height of prism
B=area of base
So for this prism:
p=6+6+4=16 cm
h=7 cm
B=1/2(6)(5.2)=15.6 cm2
SA = 16(7)+2(15.6)=
= 112+31.2
= 143.2 cm2
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Michael M.
Technically speaking, there is no solution to the problem since no triangular prism can be constructed with the following dimensions. Assuming that the side lengths of the triangle are 6cm, 6cm and 4cm, though, the surface area comes out to be 143.2cm^205/21/25