Area, Perimeter, Surface Area and Volume

Area:2D

100

What is the formula for area of a rectangle?

A = length x width

200

What is an area of a rectangle for

Length: 2cm Width: 8cm   Area: ?

16cm²

300

What is the formula for an area of a triangle?

Area of triangle = 1/2 (base) X (height)

                        = 1/2 bh

400

Given a triangle with base 2cm²  and height 5cm^2,

what is the area?

Area of a triangle = 1/2 (base) X (height)

                          =1/2 (5) (2)

                           =1/2 (10)

                           =5

500

For composed figures that include two rectangles and one triangle.  How many different areas must be added to get the TOTAL area of composed shape?

Total Area of a composed shape of 2 rectangles and 1 triangle

= 3 different areas must be added

=(area of rectangle)  + (area of rectangle) +

  (area of triangle)

Perimeter:2D

100

What is the formula for perimeter of a rectangle?

Perimeter rectangle 

        = length + width + length + width

           (distance around outside)

200

Length: 7 cm  Width: 17 cm Perimeter: ?

48 cm

300

Length: 25 km Width: 19 km 

Perimeter of a track: ?

88km

400

Double Bonus

Length: 15 mm Width: 2mm  

Perimeter of a rectangle?

34mm

500

Length: 100m Width: 16m   

Perimeter of a pool?

232m

Surface Area:2D

100

What is surface area?

The area of all sides of a 3D shape added up together

200

Which thing is similar to surface area?

A: water inside a pool

B: Grass on the lawn

C: Wrapping a gift box

C: Wrapping a gift box

300

What is most like surface area?

A: Walls of the classroom

B: Box around a frozen pizza 

C: Chocolate in M&Ms

B: Box around a frozen pizza

400

Find the surface area of a cube:

Length: 2cm

Width: 2cm

Surface area of a cube:

     Area of one square = 2 X 2 = 4

     Since six squares in a cube = 4 times 6

     24cm²

     

500

How many different areas total do we need to add to get surface area?

(Hint: How many shapes make up a rectangular pyramid?)

       

Rectangular Pyramid = 

             5 shapes, 

             5 different areas added total

                         = 1 rectangle

                         = 4 triangles

Volume:3D

100

What is volume?

Hint: Volume of cereal inside a square container

(Space inside a shape)

Number of cubes inside a 3D shape

200

What is the formula for volume of a rectangular prism (box)?

Volume of rectangular prism (box) = 

             = length x width x height

             = lwh

300

What is the volume?

Length: 1mm

Width: 3mm

Height: 5mm

15mm³

400

What is the volume of a rectangular prism?

Length: 4cm

Width: 5cm

Height: 10cm

volume of a rectangular prism = 200cm³

                ^{= length X width X height}

                ^{=(10) (5) (4)}

                ^{= 200cm3}

          

                

500

What is the volume?

Length: 14km

Width: 3km

Height: 20km

840km³

Shapes:2D/3D

100

Rectangles and Triangles are what kind of shapes?

a) 2-dimensional

b) 3-dimensional 

a) 2-dimensional

because they are flat, 

             only length and width (rectangle)

             only base and height (triangle)

200

How many dimensions do prisms and pyramids have?

3 dimensions 

-solids with length, width, height

300

How many square faces do cubes have?

six

Note: To get surface area of a cube, 

(area of a square) X 6

400

How many triangular faces do triangular prisms have?

2: 1 triangle on each end

Note: 5 total shapes

                -2 identical triangles

                 -3 identical rectangles

500

        Double Bonus

How many rectangular faces do rectangular prisms have?

2: one rectangle on each end. (identical)

Note: 6 total shapes: 

              -two rectangular, identical ends

              -4 rectangular