Download Surface Area notes: (Chapter 11) Remember: Area of a square

Surface Area notes: (Chapter 11)
Remember:
Area of a square / parallelogram: A = b*h
Area of a
Area of a
1
trapezoid: A = (b1+b2)*h
2
1
triangle: 𝐴 = 2 𝑏 ∗ ℎ
Area of a kite / rhombus / square: 𝐴 =
1
Where: A = area, a = apothem
b – base, h – height, d - diagonal
P – perimeter, s – side length
1
d1*d2
2
n – number of sides.
1
Area of a regular polygon: 𝐴 = 2 𝑎 ∗ 𝑠 ∗ 𝑛 𝑜𝑟 𝐴 = 2 𝑎 ∗ 𝑃
Define the following terms: from 11-2 and 11-3 of your book.
Prism:
Bases:
Lateral Faces:
Altitude of a prism:
Height (h) of a prism:
Right prism:
Oblique Prism:
Lateral area (L.A.) of a prism:
Surface area (S.A.) of a prism:
Consider the prism on the right:
1. Is the prism right or oblique? Why?
3cm
4 cm
5cm
2. What type of prism is it?
3. Draw arrows pointing to the bases and label them.
What shapes are the bases?
4. What is the area of the bases?
5. What shapes are the lateral surfaces made of? Determine the area of each lateral surface.
6. What is the surface area of the prism?
Cylinder:
What shape is the base of a cylinder?
What shape is the lateral surface of a cylinder?
8cm
Draw a diagram to illustrate how to find the area of a cylinder. Include the formulas for the area of the bases
and the area of the lateral surface.
Pyramid:
Altitude of a pyramid:
Slant height of a pyramid:
Regular pyramid:
Explain how to find the lateral area of a pyramid using the diagram on 709.
Explain how to find the surface area of a pyramid using the diagram on 709.
Look at the illustrations on pg. 710. In order to determine side length, slant height, or altitude (height) of a
pyramid, what might you have to do?
What is the formula for the lateral surface area of a cone? How does this compare to the lateral surface area of
a pyramid?
Look at the pyramid to the right and answer the following questions:
1. What is the shape of the base?
2. What is the area of the base?
3. What are the shapes of the lateral faces?
4. What is the height of each face (or what is the slant height of the pyramid)?
5. What is the area of each lateral face?
6. What is the surface area of the pyramid?
*The surface area of a sphere is given by 𝑆. 𝐴. = 4𝜋𝑟 2
In 1-2 sentences, briefly describe the general process for finding surface area of a 3-dimensional object.