Volume of Composite Solids Lesson 22. Write the volume formula for each solid. 1. Square prism 2....
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Transcript of Volume of Composite Solids Lesson 22. Write the volume formula for each solid. 1. Square prism 2....
Write the volume formula for each solid.
1. Square prism
2. Rectangular prism
3. Triangular pyramid
4. Cylinder
5. Cone
6. Pentagonal pyramid
1. Identify the different types of solids in the figure.
2. Calculate the volume of each solid.
3. Find the sum of the volumes.
Find the volume of the composite solid.Use 3.14 for π.
This composite figure is made of a cylinder and a cone. Write each formula. Substitute known values. Find the value of the power. Multiply. Find the sum of the volumes. V ≈ 50.24 + 12.56 =
62.8 The volume of the solid is about 62.8 ft3.
hr 2V hr 2
3
1V
)4()2)(14.3(V 2
)4)(4)(14.3(V
24.50V
)3()2)(14.3(3
1V 2
)3)(4)(14.3(3
1V
56.12V
Find the approximate remaining volumewhen a cylindrical hole is drilled out ofthe prism. Use 3.14 for .
This prism is made of a prism and with a cylinder removed. Write the formulas needed. Substitute known values. Find the value of the power. Multiply. Find the difference of the volumes. V ≈ 512 – 100.48 ≈ 411.52 The remaining volume is about 411.52 cm3.
BhV)8)(88(V
512V
hr 2V )8()2)(14.3(V 2
)8)(4)(14.3(V 48.100V