Volume Blueprint Slides
Volume Blueprint
Calculating Triangular Prisms
Warm-Up
Calculate the Area of each triangle below. Formula: \(A = \frac{1}{2}bh\)
b = 6 cm h = 4 cm
Shape A
b = 10 in h = 8 in
Shape B
b = 7 m h = 6 m
Shape C
Video Insight
Embedded media
Pause & Discuss
What is the difference between:
b Base length of triangle
B Area of the base shape
The Prism Principle
V = Bh
B
The Area of the base triangle.
\(B = \frac{1}{2} \times \text{base} \times \text{height}\)
h
The Length of the prism connecting the bases.
Often called the "depth" or "prism height".
Process Blueprint
1
Find B
Calculate the area of the triangle base.
\(B = \frac{1}{2}bh\)_
2
Identify h
Locate the height/length of the entire prism.
The "3rd Dimension"
3
Calculate V
Multiply your results together.
\(V = B \times h\)
Prism Power Worksheet
Prism Power
Unit: 3D Geometry • Volume Calculations
Name:
Date:
V = Bh
Where B is the Area of the Base and h is the Height of the Prism.
A = ½bh
Area formula for a Triangle.
Phase 1
Triangle Recall
Quickly calculate the area (A) of the base triangle for each shape below.
Base = 8 cm
Height = 6 cm
Area (B) =
Base = 12 in
Height = 5 in
Area (B) =
Base = 10 m
Height = 4 m
Area (B) =
Phase 2
Volume Blueprinting
Prism Model
Step 1: Find Area (B)
Step 2: Prism Height (h)
Step 3: Total Volume (V)
b = 6cm, triangle h = 4cm,
Prism length = 10cm
b = 10in, triangle h = 3in,
Prism height = 15in
Word Problem:
A slice of cheese has a base area of 25 cm² and a thickness of 2 cm.
Given as: 25 cm²
Calculations must show units Check: B = ½bh | V = Bh
