Triangular Prism and Square Pyramid Surface Area

Presentation

•

Mathematics

•

7th Grade

•

Hard

•

CCSS

6.G.A.4, 6.G.A.1, 7.G.B.6

Standards-aligned

Tony Zerrer

Used 2+ times

FREE Resource

10 Slides • 9 Questions

Triangular Prism and Square Pyramid Surface Area

Multiple Choice

What is surface area?

The measure of the amount of space inside of a solid figure

The sum of all the areas of all the shapes that cover the object

Multiple Choice

How many Faces does a Triangular Prism have?

How to calculate surface area:

Calculate the area of each face (5 faces)
Add the areas up.
Measured in square units (in²)

Area of a triangle

A triangle is half the size of a rectangle.

A=\frac{b\cdot h}{2}

\frac{1}{2}b\cdot h

A=\frac{5\cdot10}{2}=25\ cm^2

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)

Person 1 and 2

Person 1 is the person who wins at rock, paper, scissors.

This is what you will say...

Person 1: Base and height of a triangle meet at ___ degrees.

Person 2: Right! the base of this triangle is ___ and the height is ___.

Base and height

The base of this triangle is 1.8 and the height is 1.5 because they will meet at 90⁰.

Fill in the Blanks

What is the height of the triangle?

Type answer...

The surface area of a square pyramid

5 faces
area of the base square = 8*8 = 64
Area of all the triangular sides =
$\frac{8\cdot10}{2}\cdot4=160$
$64+160=224\ in^2$

Person 1 and Person 2

Person 1: We multiply base times height, then divide by __ to get the area of the triangle.

Person 2: Right! Then we multiply by ___ to get the area of all four sides of the pyramid.

Multiple Choice

_{Find the Surface Area}

15m²

16m²

18m²

20m²

How to calculate the surface area:

Two triangles (b*h of the triangle ) = 3*4 = 12
Lateral side₁= 4*11 = 44
Lateral side₂ = 5*11 = 55
Lateral side₃ = 3*11 = 33
Add the areas = 12 + 44 + 55 + 33 = 144 cm²

Person 1 and Person 2

Person 1: We multiply base and height to get the base area of both triangles. We don't need to divide by __.

Person 2: Right! We don't need to divide by __ because we are taking the area of 2 triangles

Multiple Choice

Find the total surface area of the prism.

161 square feet

1,700 square feet

75 square feet

186 square feet

Fill in the Blanks

How many faces does this shape have?

Type answer...

Fill in the Blanks

What is the area of one triangular base?

Type answer...

Fill in the Blanks

What is the total surface area of the figure? No labels needed in your answer.

Type answer...

Triangular Prism and Square Pyramid Surface Area

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