Find the surface area of the prism 4cm 5cm 12cm 13cm

Answer with explanation:

Surface area of any Prism = P H + 2 B

P= Perimeter of base

H= Height of prism

B= Base Area

As, prism is Right triangular Prism, having side lengths, 5 cm ,12 cm and 13 cm,and Height = 4 cm.

Perimeter of Base which is in the shape of triangle = 5 +12 +13=30 cm

Area of Right triangle, having Altitude and Base =5 cm and 12 cm

So, Surface Area of Prism = 30 × 4 +2 ×30

                           =120 +60

                           =180 cm²

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: