Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of...

9
Volume of Prisms and Cylinders

Transcript of Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of...

Page 1: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Volume of Prisms and Cylinders

Page 2: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Volume of Prisms and Cylinders

Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic units.

Page 3: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Volume of Prisms and Cylinders

Volume of a Prism• If a prism has a

volume of V cubic units, a height of h units, and each base has an area of B square units, then

V = B*h

Page 4: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Find the volume of the triangular prism.

Answer:

Page 5: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

The weight of water is 62.4 pounds per cubic foot. How many pounds of water would fit into a back yard pond that is rectangular prism 3 feet deep, 7 feet wide, and 12 feet long?

Answer: 15,724.8 lb

Page 6: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Volume of Prisms and Cylinders

Volume of a Cylinder• If a cylinder has a

volume of V cubic units, a height of h units, and the bases have radii of r units, then

V = B * h = * r2 * h

Page 7: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Answer: Answer:

Find the volume of each cylinder to the nearest tenth.

a. b.

Page 8: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Find the volume of the oblique cylinder to the nearest tenth.

Answer:

Page 9: Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.

Volume of Prisms and Cylinders

Cavalieri’s Principle• If two solids have the

same height and the same cross-sectional area at every level, then they have the same volume.