11. VOLUME Triangular Prisms LESSON

Open Ended

Look at the prism. How is it different from a rectangular prism?

Dropdown

VOLUME of TRIANGULAR PRISM

To find the volume of a Triangular​ Prism...

Look at the shape of the end.



What is the Base (footprint) shape of it's bottom?

​ ​ ​ ​ ​

Select answer

Multiple Choice

How do you find the AREA of a triangle?

• bh

• $$\frac{1}{2}bh$$

• Bh

Multiple Choice

How do you find the VOLUME of a triangle?

So for VOLUME we just multiply AREA by H.

• bhH

• $$\frac{1}{2}bh$$ H

• BhH

Volume of Triangular Prisms

Learning how to calculate the volume of triangular prisms

​Same as before:

1. Find the area of the Base (footprint)

2. Multiply by how tall we stack those.

Multiple Choice

Lets use the shortcut to find volume:

bhH $$\div$$ 2

b=4

h=5

H=7

• 140 m³

• 70 m³

• 70 m²

• 63 m³

The answer is 70 m³ because:

Shortcut calculate the volume of Triangular Prism:

Multiple Choice

Find the volume of the figure. Round to the nearest tenth.

• 80 cm³

• 40 cm²

• 80 cm²

• 40 cm³

The answer is 40 cm³ because:

Multiple Choice

What is the volume of this triangular prism?

• 432 in³

• 288 m³

• 864 in³

• 432 m³

Multiple Choice

What is the volume?

• 460 ft³

• 1260 ft³

• 630 ft³

• 1260 ft²

Multiple Choice

Find the volume of this prism.

• 360 m³

• 242 m³

• 288 m³

• 576 m³

Explanation Slide...

Find the Area of the Base then multiply by the height of the prism

Multiple Choice

Name the 3D solid.

• A. Triangular Pyramid

• B. Triangular Prism

• C. Rectangular Prism

• D. Rectangular Pyramid

Multiple Choice

• 40 cm³

• 11 cm

  20 cm²

• 20 cm³

• 30 cm³

Explanation Slide...

Volume, is like ogres each has layers.

Multiple Choice

The Toblerone candy come in a package like the triangular prism. The bases of the triangles are 2 inches with a height of 2.5 inches. The faces are 10 inches in length. 
What is the volume of the package? 

• 25 cubic in.

• 8 1/3 cubic in.

• 50 cubic in.

• 12.5 cubic in. 

Multiple Choice

Find the VOLUME of the prism.

• 100 Cubic feet

• 1,700 cubic feet

• 75 cubic feet

• 186 cubic feet

Multiple Choice

Julie uses a tent like the one shown to go camping with friends. The tent is 7 feet tall, 10 feet wide and 12 feet long. Calculate the volume.

• 840 cubic feet

• 84 cubic feet

• 420 cubic feet

• 120 cubic feet

Multiple Choice

What shape is the base? What is the area of the base (B)?

• Rectangle; 60in²

• Triangle; 12 in²

• Rectangle; 32 in²

• Triangle; 6 in²

Multiple Choice

Find the volume of the figure. Round to the nearest whole number.

• 1,944 cm³

• 108 cm³

• 972 cm³

• 216 cm³

Multiple Choice

Find the volume:

• 960 cm ³

• 240 cm ³

• 480 cm ³

• 1920 cm ³

Explanation Slide...

Volume, like orgres has layers

Multiple Choice

Find the volume of this triangular prism.

• 1440 cm³

• 60 cm³

• 720 cm³

• 180 cm³

Explanation Slide...

Find the area of the base and then multiple by the height of the prism.

Multiple Choice

Lucia has a triangular prism that has a length of 6 cm, a width of 4 cm, and a height of 8cm. What is the volume?

• 96cm³

• 54cm³

• 80cm³

• 24cm³

Multiple Choice

Find the volume.

• 18 m³

• 20 m³

• 16 m³

• 22 m³