**TSA of rectangular prism**

The rectangular prism has rectangular faces.

So, use the formula *A* = *lw* to find the area of the faces.

For both the front and back faces, *l* = 5 in. and *w* = 2 in.

So, the area of the front and back faces is,

5 2 2 = 20 in.^{2}

For both the top and bottom faces, *l* = 14 in. and *w* = 5 in.

So, the area of the top and bottom faces is,

14 5 2 = 140 in.^{2}

For both the sides, *l* = 14 in. and *w* = 2 in.

So, the area of the two sides is,

14 2 2 = 56 in.^{2}

Add the area of the faces.

20 + 140 + 56 = 216

So, the total surface area of the given solid is 216 in.^{2}.**TSA of triangular prism**

The triangular prism has triangular bases.

So, to find the area of the bases, use the formula:

Substitute 6 for *b* and 8 for *h*.

Therefore, the area of the two bases is,

2(24) = 48 cm^{2}

The triangular prism has rectangular sides.

So, use the formula *A* = *lw* to find the area of the sides.

The area of the front side is,

13 8 = 104 cm^{2}

The area of the bottom side is,

13 10 = 130 cm^{2}

The area of the back side is,

13 6 = 78 cm^{2}

Find the sum of the base areas and the area of the sides.

48 + 104 + 130 + 78 = 360

So, the total surface area of the given solid is 360 cm^{2}.**TSA of a cylinder**

The radius of the circular base is,

he area of a circle is, *A* = *π**r*^{2} where *r* is the radius.

Replace *π* with 3.14, *r* with 2.4.

*A* (3.14)(2.4)^{2}

*A* = 18.0864

So, the area of one base is 18.0864 cm^{2}.

The sum of the areas of the two bases is,

18.0864 + 18.0864 = 36.1728 cm^{2}

This video is on how to find the tsa of a cylinder , rectangular prism, and triangular prism. It was created by Warren, Bruce and I.

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