Lateral and Total Surface Area of a Triangular Prism

Lesson Objective

Demonstration of

Learning

(7.9 D) I will be able to solve problems
involving the lateral and total surface area
of a triangular prism by determining the
area of the shape’s net.

Triangular Prism

Given 4 problems, I will I will be able to
solve problems involving the lateral and
total surface area of a triangular prism by
determining the area of the shape’s net 4/4
times or with 100% accuracy.

How do you find the lateral and total surface area of triangular

prisms?

Essential Question

Academic Vocabulary

●Lateral faces

●Total Faces

●Lateral Area

●Total Area

●Area of the Base

Introduction

https://www.geogebra.org/m/ZmcJJHza

Multiple Choice

How do you find the AREA of a TRIANGLE?

• Height x Base divided by 4

• Length x Width

• 1/3 (Length x width)

• 1/2 (Base x height)

Multiple Choice

What does lateral mean when asked to find the lateral surface area?

• Means the bases and no faces

• Means just the faces

Multiple Choice

What is the difference between lateral area and total surface area?

• Total surface area includes 1 base instead of 2 bases like lateral does

• Lateral includes all the faces while total only includes the bases

• Total surface area includes the base(s) and all the faces while lateral does not include the base(s)

• Lateral just includes B, the area of the base while total does not

Multiple Choice

FInd the Surface area of the shape below?

• 258 m²

• 268 m²

• 248 m²

• 278 m²

Use the net to find the lateral area and the total surface area of the triangular prism described by the net.

Multiple Choice

A plastic toy is in the shape of a triangular prism. Justin drew a net of the triangular prism.

What is the surface area of the prism?

• A 72 cm²  

• B 80 cm² 

• C 84 cm² 

• D 88 cm² 

Compare the cost of covering the lateral area and the total surface area of the prism below with foil that costs $0.23 per square inch.

Fill in the Blank

A shipping carton is in the shape of a triangular prism. Use a net to find the total surface area of the carton.

Multiple Choice

Use the net to find the surface area of the right triangular prism.

• A 90 m²

• B 585 m²

• C 510 m²

• D 2340 m²

Multiple Choice

A square pyramid is covered with decorative wrapping paper with no overlap.  The net of the box is shown on the right.  How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 

• 108 cm²

• 324 cm²

• 180 cm²

• 432 cm²

Multiple Choice

Find the surface area of the triangular prism.

• 228 in²

• 204 in²

• 304 in²

• 328 in