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.

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