Measurement Part 2: Surface Area and Volume
IXL:
IXL:
AA13 (Volume)
AA13 (Volume)
AA14 (Surface Area)
AA14 (Surface Area)
By the end of this unit, I will be able to;
By the end of this unit, I will be able to;
· Sketch different prisms that share the same volume
· Solve problems that require conversion of units
· Calculate the volume of right prisms (rectangular prism and triangular prism)
· Calculate the surface area of right prisms
Important points to note:
Important points to note:
· There are a few different ways to calculate (and show your work) the area of a prism. 11.1 in the textbook shows one way (using a net, or breaking the shape into pieces).
· You can also calculate the surface area of a right prism by using a formula.
· The textbook only contains surface area and volume of rectangular prisms
Formulas to remember:
Formulas to remember:
Rectangular prism
Rectangular prism
SA = 2Lw + 2Lh + 2wh
SA = 2Lw + 2Lh + 2wh
OR
OR
SA = 2Lw + pd
SA = 2Lw + pd
Where:
Where:
"L" is the length of the Rectangular base.
"L" is the length of the Rectangular base.
"w" is the width of the Rectangular base.
"w" is the width of the Rectangular base.
"p" is the perimeter of the triangle base.
"p" is the perimeter of the triangle base.
"d" distance between the base and top of the prism.
"d" distance between the base and top of the prism.
Any prism
Any prism
SA = 2A + pd
SA = 2A + pd
(2 times the Area of the base)
(2 times the Area of the base)
+
+
(distance between the base and top of the prism x perimeter of the base)
(distance between the base and top of the prism x perimeter of the base)
Triangular prism
Triangular prism
SA = bh + (s+s+s)(d)
SA = bh + (s+s+s)(d)
Where "d" stands for the distance between the base and top of the prism…how far the two triangles are away from each other).
Where "d" stands for the distance between the base and top of the prism…how far the two triangles are away from each other).
OR
OR
SA = bh + pd
SA = bh + pd
Where:
Where:
"b" is the base of the triangle base
"b" is the base of the triangle base
"h" is the height of the triangle base
"h" is the height of the triangle base
"p" is the perimeter of the triangle base
"p" is the perimeter of the triangle base
"d" is the distance between the base and top of the prism.
"d" is the distance between the base and top of the prism.
Volume Formula
Volume Formula
V = Ad
V = Ad
"A" is the Area of the base of the prism
"d" is the distance between the base and top of the prism.
Calculating Surface Area of Rectangular Prisms - Lesson and Examples (March 10, 2020)
Calculating Surface Area of Rectangular Prisms - Lesson and Examples (March 10, 2020)
Surface Area Grade 7 - 2019-2020 completed.pdfSurface Area of a Triangular Prism - Completed.pdfCalculating Surface Area of Triangular Prisms (March 11, 2020)
Calculating Surface Area of Triangular Prisms (March 11, 2020)
Surface Area of a Triangular and Trapezoidal Prisms - Example - 2020.pdfHow to Calculate The Surface Area of Triangular and Trapezoidal Prisms
How to Calculate The Surface Area of Triangular and Trapezoidal Prisms
(March 12, 2020)
(March 12, 2020)
Level 4 and Volume Examples - 2020 pdf.pdfHow to calculate Volume
How to calculate Volume
Work Package handed out on March 10, 2020
Work Package handed out on March 10, 2020
Surface Area and Volume Work Package - 2019-2020.pdfSolutions to first 4 pages of Work Package.pdfSolutions to First Four Pages of March 10's Work Package
Solutions to First Four Pages of March 10's Work Package
SA and Volume of a Rectangular Prism - Walkthrough
SA and Volume of a Rectangular Prism - Walkthrough
Rectangular Prism Surface Area and Volume Example.wmvSA and Volume of a Triangular Prism - Walkthrough
SA and Volume of a Triangular Prism - Walkthrough
Triangular Prism Surface Area and Volume Example.wmvSA and Volume of a Trapezoidal Prism - Walkthrough
SA and Volume of a Trapezoidal Prism - Walkthrough
Trapezoidal Prism Surface Area and Volume Example.wmvFinding the SA of a Rectangular Prism Way #1
Finding the SA of a Rectangular Prism Way #1
SA of a Rectangular Prism Way #2
SA of a Rectangular Prism Way #2
--- With a formula ---
--- With a formula ---
SA Formula for ANY Rectangular Prism
SA Formula for ANY Rectangular Prism
Surface Area Worksheet from class
Surface Area Worksheet from class
(March 21 and 22, 2019)
(March 21 and 22, 2019)
Surface Area Worksheet March 21-22, 2019.pdfSolutions To Above Worksheet
Solutions To Above Worksheet
Surface Area March 21-22 2018-2019 Worksheet - Solutions.pdfSolutions to Surface Area and Volume Worksheet from Tuesday
Solutions to Surface Area and Volume Worksheet from Tuesday
(March 26, 2019)
(March 26, 2019)
Solutions to Worksheet from March 26.pdfSolutions to Trapezoid Worksheet
Solutions to Trapezoid Worksheet
(March 27, 2019)
(March 27, 2019)
Trapezoid prism worksheet March 27 - solutions - Website.pdfSurface Area Worksheet Solutions (2018):
Surface Area Worksheet Solutions (2018):
work sheetSurface area Homework - answers.pdfSurface Area Worksheet A-C Package - Answers
Surface Area Worksheet A-C Package - Answers
Surface Area Worksheet A-C Package - Answers.pdfSurface Area and Volume Review for Unit Test and Solutions
Surface Area and Volume Review for Unit Test and Solutions
SA and Volume Review with Solutions.pdf