Triangular Prism and Square Pyramid Surface Area

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?

• 3

• 6

• 9

• 5

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.

 $A=\frac{b\cdot h}{2}$  or  $\frac{1}{2}b\cdot h$  

 $A=\frac{5\cdot10}{2}=25\ cm^2$  

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?

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?

Fill in the Blanks

What is the area of one triangular base?

Fill in the Blanks

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