Volume of Pyramids
Volume of Prisms
Total Surface Area
Lateral Surface Area
Composites
100
The NAME of a 3D shape tells us the type of ____ shape we have.
base
100
What is the formula for volume of a cube?
V=Bh
100
How do you find total surface area?
Find the area of the entire figure and add them all up
100
How is the lateral surface area different than the total surface area?
You do not include the base(s) in lateral surface area
100
The term that means cutting a shape into smaller shapes in order to find the area.
What is decomposing?
200
What is the formula for volume of a triangular pyramid and how would you solve for "B"
V= 1/3(Bh)
B=bh/2 (because it's a triangular base)
200
What does "B" stand for?
Area of the base
200
Find the total surface area :
a=bh
a=3x3
a=9
9 x 6= 54
200
Which shape would you leave off to find the lateral surface area?
The square
200
The term for enlarging the space to a shape, finding the area, and then subtracting the extra area.
What is composing?
300
What is the formula for volume of a square pyramid and how would you solve for "B"
V=1/3Bh
B=bh (because it's a square base)
300
What is the formula for volume of a triangular prism
V=Bh
B=(bh/2)
300
Find the total surface area of the triangular prism
area of rectangles= bh
area of rectangles= 5 x 10
area of rectangles = 50
three rectangles = 150
area of triangles = 1/2bh
area of triangles= 1/2(5x4)
area of triangles=1/2(20)
area of triangles=10
two triangles= 20
area of rectangles + area of triangles= 150 + 20
total surface area= 170
300
Find the lateral surface area of the square pyramid
square base is not included
area of triangles= 1/2bh
area of triangles= 1/2(6 x 12)
area of triangles= 36
total triangles = 4
36 x 4 = 144
300
The formula for the area of a trapezoid.
A=(b1+b2) h / 2
or
A=1/2 (b1+b2) h
400
Find the volume of the square pyramid
V=1/3Bh
V=1/3(4x4)6
V= 1/3(96)
V=32
400
The volume of a rectangular prism is 250 square cm. The area of the base is 25. What is the height of the prism?
250=25h
250/25=h
10=h
The height is 10 cm
400
Find the total surface area
area of square=bh
area of square=(6 x 6)
area of square= 36
area of triangles= 1/2bh
area of triangles= 1/2(6 x 12)
area of triangles = 36
4 triangles = 144
triangles + square
144 + 36
total surface area = 180
400
Find the lateral surface area:
There are 6 total faces, but 2 are bases
area of square= bh
area of square= 3 x 3
area of square=9
9 x 4 = 36
400
Find the area:
Area = Trapezoid + Rectangle
Trapezoid=(b1+b2)h / 2 Rectangle=bh
Trapezoid=(1+3)3 / 2 Rectangle=5x6
Trapezoid=12/2=6 Rectangle=30
Area = 6+30 = 36
500
Find the volume of the triangular pyramid
V=1/3(1/2Bh)
V=1/3[1/2(6x8)]12
V= 1/3(24)12
V=1/3(288)
V= 96
500
Find the volume of the triangular prism
V=1/2Bh
V=1/2(4x6)12
V=1/2(24)12
V=1/2(288)
V=144
500
Find the total surface area:
area of triangle = 1/2bh
area of triangle= 1/2(6 x 5)
area of triangle= 15
4 total triangles= 15 x 4
total surface area= 60
500
Find the lateral surface area of the triangular prisms
bases are triangles (they do not count)
area of rectangle= bh
area of rectangle= 10 x 5
area of rectangle= 50
3 rectangles= 150
500
Find the shaded area:
Trapezoid-Triangle
Trapezoid: (b1+b2)h/2 Triangle: bh/2
Trapezoid: (3+5)3/2 Triangle: 3x3/2
Trapezoid: 12 Triangle: 9/2 = 4 1/2
Total: 12 - 4.5 = 7.5