Question

Cedric needs to find the surface area of the triangular prism.There is a piece of information missing you need to find it before you can solve this problem.

Answer 1

The total surface area is the sum of:

The Area of the rectangle on the base (36*40) = 1440 cm^2

Two triangles rectangles on the sides: 2*(36*27)/2 = 972 cm^2

One rectangle on the back of the figure: (40*27) = 1080 cm^2

And finally a inclined rectangle of base 40 and side we don't know but we can calculate: the side of this rectanlge is the hypotenuse ot the triangle rectangle of the side, so

`\text{hypotenuse = }\sqrt[]{36^2+27^2\text{ }}\text{ =}\sqrt[]{1296+729}=\sqrt[]{2025}=45`

Therefore the area of the inclined rectangle is (40*45) = 1800 cm^2

Total area = 1440+972+1080+1800 = 5292 cm^2

Answer:

5292 cm^2