What is the formula for volume of a square pyramid
V=1/3Bh
What is the formula for volume of a cube?
V=Bh
How do you find total surface area?
Find the area of the entire figure
How is the lateral surface area different than the total surface area?
You do not include the base in lateral surface area
What is the formula for volume of a triangular pyramid?
V= 1/3(1/2Bh)
What does "B" stand for?
Area of the base
Find the total surface area
a=bh
a=5x5
a=25
25 x 6= 150
Which shape would you leave off to find the lateral surface area?
The square
What is the formula for volume of a triangular prism
V=1/2(Bh)
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
Find the lateral surface area of the square pyramid
area of triangles= 1/2bh
area of triangles= 1/2(6 x 12)
area of triangles= 36
total triangles = 4
36 x 4 = 144
Find the volume of the square pyramid
V=1/3Bh
V=1/3(2x2)3
V= 1/3(12)
V=4
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
Find the total surface area
area of square=(4 x 4)
area of square= 16
area of triangles= 1/2bh
area of triangles= 1/2(4 x 6)
area of triangles = 12
4 triangles = 48
triangles + square
48 + 16
total surface area = 64
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
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
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
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
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