When we talk about finding the surface area of a prism or cylinder, we need to first review how to find the area and perimeter of rectangles, triangles, and circles. Work through the following flashcards to practice and review area and perimeter.
Find the perimeter and area of the rectangle.
Let l be length and w be width.
Perimeter
2l + 2w = 2(8) + 2(5)
16 + 10 = 26 cm
Area
l x w = 8(5) = 40 cm2
Find the perimeter and area of the triangle.
To find the perimeter of the triangle, add all three sides.
Perimeter
10 + 10 + 12 = 32 in
Area
To find the area, identify the base and height.
\(\mathsf{ \frac{1}{2}bh = \frac{1}{2}(12)(8) = 48in^{2} }\)
Find the area and circumference of the circle.
The perimeter of a circle is defined as the circumference.
\(\mathsf{ C=2\pi r \\ 2(\pi)(5) \approx 31.42m }\)
The area of the circle is defined as follows.
\(\mathsf{ Area =\pi r^{2} \\ \pi (5)^{2} \approx 78.54m^{2} }\)
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