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Surface Area NOTES

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7 Perimeter, <strong>Area</strong>, Volume, <strong>Surface</strong> <strong>Area</strong>.notebook December 18, 2012<br />

DO NOW:<br />

Monica wants to carpet her living room, which is made up of a<br />

rectangle and a semicircle as shown in the diagram below.<br />

8 ft<br />

<strong>Surface</strong> <strong>Area</strong>:<br />

is the sum of the areas of the bases plus the areas of the lateral faces (sides).<br />

15 ft<br />

How much carpet, to the nearest square foot, will Monica need?<br />

Formula for <strong>Surface</strong> <strong>Area</strong> of a Rectangular Prism:<br />

SA = 2lw + 2hw + 2lh<br />

The rectangular prism shown below has a length of 3.0 cm, a width of 2.2 cm, and a height of 7.5 cm.<br />

A box needs to be covered in brown paper before ailing. m If the dimensions of the<br />

box are 3 feet by 3 feet by 2 feet, what is the surface area of the box that<br />

will need to be covered?<br />

What is the surface area, in square centimeters?<br />

The length and width of the base of a rectangular prism are 5.5 cm and 3 cm. The height of the<br />

prism is 6.75 cm. Find the exact value of the surface area of the prism, in square centimeters.<br />

A plastic storage box in the shape of a rectangular prism has a length of x + 3, a<br />

width of x ­ 4, and a height of 5. Represent the surface area of the box as a<br />

trinomial in terms of x.


7 Perimeter, <strong>Area</strong>, Volume, <strong>Surface</strong> <strong>Area</strong>.notebook December 18, 2012<br />

A rectangular clothing box has a length of x + 7, a width of x ­ 2, and a height<br />

of 3. Represent the surface area of the box as a trinomial in terms of x.<br />

Formula for <strong>Surface</strong> <strong>Area</strong> of a Cylinder:<br />

SA = 2πr 2 + 2πrh<br />

Find the surface area of the cylinder in the diagram below, to<br />

the nearest thousandth.<br />

Find, to the nearest tenth, the surface area of a cylinder that has a height of 15<br />

inches and a diameter of 4 inches.

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