MATH 0701 Lecture Notes - Lecture 2: 96.5 Wave Fm, Objective-C, Natural Number
19 Jun 2018
School
Department
Course
Professor
MATH 0701 / Elementary Algebra / Fall 2017
Temple University / Dr. Ranjini Muhunthan
Lecture Notes 1.4 – 1.7
Notes By: Kirstin Ortiz
Section 1.4 – Volume and Surface Areas of Geometric Figures-
(Objective A) Finding volumes of rectangular solids, cubes, and right circular cylinders
Approximate Volume: The symbol of pi is used instead of calculating pi into the final answer
Exact Volume: Pi is calculated into the final answer
*Volume is cubed
Volume of Rectangular Solid – V = hwl
Volume of Cube – V =
l
l
Right Circular Cylinder – V = πh
h
Example 1) Find the volume of the figures being described.
*Answers on Page 5*
A) A rectangular solid with a length of 13mm, width of 2mm, and height of 24mm.
B) A right circular cylinder with a radius of 2/3in, and height of 5/3in. Use 22/7 for pi. Find exact
and approximate volume.
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MATH 0701 / Elementary Algebra / Fall 2017
Temple University / Dr. Ranjini Muhunthan
Lecture Notes 1.4 – 1.7
Notes By: Kirstin Ortiz
(Objective B) Finding the surface area of rectangular solids, cubes, and right circular cylinders
Formulas:
Rectangular Solid – SA = 2lh + 2hw + 2wl
Cube – SA =
Right Circular Cylinder – SA =+ 2πrh
Example 1) Find the surface areas of the figures described.
*Answers on Page 5*
A) A rectangular solid with a length of 5m, a width of 4m, and a height of 2m.
B) A cube with a length of 4ft.
C) A right circular cylinder with a height of 6m, and a diameter of 5.
Section 1.5 – Introduction to Integers –
Natural Numbers – Counting numbers
N = 1, 2, 3, etc.
Whole Numbers – Natural numbers, plus 0
W = 0, 1, 2, etc…
Integers – Whole numbers and their opposites (negatives)
I = -3, -2, -1, 0, 1, 2, 3…
*For integers we usually use a number line
(Objective A) Determining order relations for integers
a = b: Read as “a is equal to b”
a ≠ b: Read as “a is not equal to b”
a ‹ b: Read as “a is less than b”
a ≤ b: Read as “a is less than or equal to b”
a › b: “a is greater than b”
a ≥ b: “a is greater than or equal to b”
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Document Summary
Section 1. 4 volume and surface areas of geometric figures- (objective a) finding volumes of rectangular solids, cubes, and right circular cylinders. Approximate volume: the symbol of pi is used instead of calculating pi into the final answer. Exact volume: pi is calculated into the final answer. Volume of rectangular solid v = hwl. Volume of cube v = l l. Right circular cylinder v = h h. Example 1) find the volume of the figures being described. *answers on page 5: a rectangular solid with a length of 13mm, width of 2mm, and height of 24mm, a right circular cylinder with a radius of 2/3in, and height of 5/3in. Notes by: kirstin ortiz (objective b) finding the surface area of rectangular solids, cubes, and right circular cylinders. Rectangular solid sa = 2lh + 2hw + 2wl. Example 1) find the surface areas of the figures described. Integers whole numbers and their opposites (negatives)
