geometry section 12-4
TRANSCRIPT
Example 1Find the volume of the prism.
V = Bh
B = area of the triangle base
V = 12 (10)(12)(25)
V =1500 cm3
Example 2Find the volume of the cylinder to the nearest hundredth.
V = πr 2h
V = π(8)2(22)
V =1408π
V ≈ 4423.36 mm3
Example 3Find the volume of the cylinder to the nearest hundredth.
For an oblique prism or cylinder, it’s the same process! Make sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
Example 3Find the volume of the cylinder to the nearest hundredth.
V = πr 2h
For an oblique prism or cylinder, it’s the same process! Make sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
Example 3Find the volume of the cylinder to the nearest hundredth.
V = πr 2h
V = π(8)2(22)
For an oblique prism or cylinder, it’s the same process! Make sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
Example 3Find the volume of the cylinder to the nearest hundredth.
V = πr 2h
V = π(8)2(22)
V =1408π
For an oblique prism or cylinder, it’s the same process! Make sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
Example 3Find the volume of the cylinder to the nearest hundredth.
V = πr 2h
V = π(8)2(22)
V =1408π
V ≈ 4423.36 mm3
For an oblique prism or cylinder, it’s the same process! Make sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism A Prism B
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism A Prism B
Prism A
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
V = 20x
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
V = 20xPrism B
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
V = 20x
V = (4)(x)(9)Prism B
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
V = 20x
V = (4)(x)(9)Prism B
V = 36x
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism A Prism B
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128−20x−20x
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
16x =128−20x−20x
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
16x =128−20x−20x
16 16
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
16x =128−20x−20x
16 16x = 8
Example 5Prisms A and B have the same width and length, but different heights. If the volume of prism B is 128 cubic inches greater than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
16x =128−20x−20x
16 16x = 8
The length of each prism is 8 inches.