Finding Area
Finding Surface Area
Finding Volume
Identifying Polyhedra
Vocabulary
100
Michael built a garden that was 4 feet wide by 5 feet long. What is the area of the garden?
20 ft. 2
100
What is the difference between area and surface area?
area is one polygon, surface area is the area of multiple polygons that make a polyhedra.
100
How do you find volume?
length x width x height
100
What is this polyhedron?
cube or rectangular prism
100
a closed, three dimensional shape with flat sides
polyhedra
200
Harry wants to find the area of the soccer field. What formula should he use to find the area of the rectangular soccer field?
length x width or base x height
200
How do we find surface area?
find area of all polygons that make up the polyhedron, add them up, and square the unit!
200
Find the volume of this rectangular prism.
lxwxh
6x3x2
18x2
36cm3
200
What is this polyhedron?
rectangular prism
200
the number of cubic units that FILL a three dimensional region, without any gaps or overlaps
volume
300
Find the area of this triangle.
40 cm2
300
Find the surface area of this rectangular prism.
2(lw+lh+wh)
2(8x3+8x4+3x4)
2(24+32+12)
2(68)
136 units2
300
Tracy says the volume of the rectangular prism below is 27m3. Tracy is incorrect. Why? & What is the correct volume?
Tracy added instead of multiplying. The correct volume is 360m3.
300
Name the polyhedron.
triangular pyramid
300
each flat side of a polyhedron
face
400
What is the area of the parallelogram that has a base of 6cm, slant of 3cm, and height of 7cm?
42cm2
400
Find the surface area of the polyhedron represented by this net.
72 units 2
400
Find the volume of the rubik's cube.
length x width x height
3x3x3
27 units3
400
Name the polyhedron.
triangular prism
400
the number of square units that COVERS all the faces of the polyhedron, without any gaps or overlaps
surface area
500
Addison and Dale were mowing the lawn and decided to split the work between the two of them. Addison said she would mow the back yard if Dale would mow the front yard and on both sides of the house. Dale said that wasn't fair, because he would be mowing three areas and Addison would only be mowing one area. Is he correct to think this?
No, he is lucky!! Addison will actually be mowing 9,000 yds2 , and Dale will only be mowing 8,150 yds2.
500
Name this polyhedron and find its surface area.
triangular prism
2(bxh/2)+bh+bh+bh
2(24x7/2)+(24x22)+(22x7) + (25x22) {hypotenuse of triangle=25m}
2(84)+528+154+550
168+528+154+550
1400m2
500
What is one way volume is different than surface area.
squared vs. cubed units, filling a polyhedra vs. covering a polyhedra, etc.
500
What am I? One 6-sided polygon as the only base and a bunch of triangles around me...
Hexagonal Pyramid!
500
When talking units in our answers, what is the "floating number" actually called?
Exponent!