Question

A triangular prism where the base is a right traingle with lengths of the edge are given 3cm,4cm,5cm,3cm what are the total surface

Answer 1

Total surface area is 48 square Centimeter

Explanation:

Total surface area is equal to the product of triangular base area and the height of the prism

Area calculation of triangular base

`S = (3+4+5)/(2) = 6\\`

Area =

`√(S(S-a)(S-b)(S-c))`

Substituting the given values in above equation we get

`√(6 *3*2*1) = 6` square centimeter

Total surface area

=
`2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48` square Centimeter