Volume of Rectangular and Triangular Prisms

Volume of Rectangular and Triangular Prisms

7.9A

Learning Objective

TLW calculate the volume of rectangular and triangular prisms

Turn and Talk (in person) or in the chat (virtual) ....

1. What is the formula you would use to find the area of a rectangle?

2. What is the formula you would use to find the area of a triangle?

What is Volume?

Volume is the amount of space a 3- dimensional shape takes up.

Volume is always represented in  $units^3$  .

What is a Rectangular Prism?

 - A rectangular prism is a 3-dimensional solid that has two congruent and parallel faces that are rectangles.

- $V=\ Bh\ or\ V=l\cdot w\cdot h$  

**B = the area of the base **

What is a Triangular Prism?

- A triangular prism is a 3- dimensional figure that has 3 rectangular faces and 2 triangular ones.

- $V=\ Bh\ or\ V=\frac{b\cdot h\cdot l}{2}$  

**B = the area of the base

Multiple Choice

What is the volume?

• A 3-dimensional solid that has two congruent and parallel faces that are rectangles.

• The amount of space a 3- dimensional shape takes up

• A 3- dimensional figure that has 3 rectangular faces and 2 triangular ones.

Multiple Choice

What does the big B in the formula stand for?

• Area of the sides

• Area of the base

• Perimeter of the base

How to find the Volume of a Prism process steps

• Step 1: Identify the type of prism you are working with.

• Step 2: Find the area of the base

• Step 3: Multiply the area of the base times the height.

• Step 4: Write the solution with the unit

"I Do"

Put your pencils down and watch me work out a problem using the process steps.

"We Do"

Pick up your pencil and follow along

"You Do"

Use you process steps to solve the next problem.

This is your exit ticket!!

Multiple Choice

What is the volume of the rectangular prism?

• $60\ in^3$

• $36\ in^3$
  

• $180\ in^3$
  

• $200\ in^3$