Cylinder

How to find the TSA of a cylinder:

The cylinder has two circular bases.

The area of one circle is:

A = π × r2

A ≈ 3.14 × 0.3752

A ≈ 0.4415625

The area of the circle is

approximately 0.4415625 m2.

There are two circles, so the area

of both circles is approximately

0.883125 m2.

Calculate the total surface area.

S.A. ≈ 0.883125 + 5.652

S.A. ≈ 6.535125

The total surface area is approximately 6.54 m2

Rectangular Prism

How to find the TSA of a Rectangualar Prism:

Find the area of one circle.

A = π × r2

A ≈ 3.14 × 3.752

A ≈ 44.15625

The area of one circle is approximately 44.15625 cm2.

Find the area of two circles.

2 ×44.15625 = 88.3125

The area of both circles is approximately 88.3125 cm2.

Find the area of the rectangle using the circumference of the circle.

A = l × w

A = (π × d) × w

A ≈ 3.14 × 7.5 × 11

A ≈ 259.05

The area of the rectangle is approximately 259.05 cm2.

Calculate the total surface area.

Surface area = 88.3125 + 259.05

= 347.3625

Triangular Prism

How to find the TSA of a Triangular Prism:

a)

3 m

2.6 m

9 m

b) The bases of the prism are equilateral triangles.

The sides of the prism are rectangles.

3 m 3 m

9 m 2.6 m

rectangle triangle

A = l ×w A= (b × h) ÷ 2

A = 9 × 3 A = (3 × 2.6) ÷ 2

A = 27 A = 7.8 ÷ 2

A = 3.9

The area of one The area of one

rectangle is 27 m2. triangle is 3.9 m2.

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## Monday, March 8, 2010

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