11. VOLUME Triangular Prisms LESSON

Presentation

•

Mathematics

•

7th Grade

•

Medium

•

CCSS

7.G.B.6, 1.G.A.1, 6.G.A.1

Standards-aligned

Kati Mayer

Used 9+ times

FREE Resource

8 Slides • 20 Questions

Open Ended

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

Type response here

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?

Multiple Choice

How do you find the AREA of a triangle?

$\frac{1}{2}bh$

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:

Find the area of the Base (footprint)
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 cm³

240 cm³

480 cm ³

1920 cm³

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

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

Type response here

Show answer

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