Chapter 13

Volume

13.1 Volume of Prisms

h

base (bottom)

h

*base (shape not a rectangle)

B = base area V = Bh

13.1 Volume of Prisms

What is the volume of the prism? Round to the nearest tenth if necessary.

13.1 Volume of Prisms

Find the volume of a rectangular prism with a length of 12 yards, a width of 14 yards, and a height of 9 yards.

13.1 Volume of Prisms

Find the volume of the prism.

13.1 Volume of Prisms

Find the volume of the prism

13.1 Volume of Prisms

The volume of a triangular prism is 655 cubic feet. The height of the prism is 5 feet. Find the area of one triangular base.

13.1 Volume of Cylinders

r

h V = πr2h

13.1 Volume of Cylinders

Find the volume of the cylinder to the nearest tenth.

13.1 Volume of Cylinders

Find the volume of the cylinder to the nearest tenth.

13.1 Volume of Cylinders

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

13.2 Volume of Pyramids

2

1

h l V = Bh3

1

13.2 Volume of Pyramids

Find the volume of the square pyramid.

13.2 Volume of Pyramids

Find the volume.

13.2 Volume of Pyramids

Find the volume of the pyramid. Round to the nearest tenth if necessary.

13.2 Volume of Pyramids

Find the height of a hexagonal pyramid with a base area of 130 square meters and a volume of 650 cubic meters.

13.2 Volume of Cones

h

r

l V = πr2h3

1

13.2 Volume of Cones

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

13.2 Volume of Cones

Find the volume of the cone to the nearest tenth.

13.2 Volume of Cones

Find the volume of the cone. Round to the nearest tenth if necessary.

13.2 Volume of Cones

Find the volume of a cone with a diameter of 8.4 meters and a height of 14.6 meters.

13.3 Volume of Spheres

r V = πr3

3

4

13.3 Volume of Spheres

Find the volume of the sphere to the nearest tenth.

13.3 Volume of Spheres

Find the volume a sphere with a great circle circumference of 30 centimeters. Round to the nearest tenth.

13.3 Volume of Spheres

The stone spheres of Costa Rica were made by forming granodiorite boulders into spheres. One of the stone spheres has a volume of about 36,000 cubic inches. What is the diameter of the stone sphere?

13.3 Volume of Hemispheres

r

V = ½( πr3)3

4

or

V = πr3

3

2

13.3 Volume of Hemispheres

Find the volume of the hemisphere with a diameter of 6 feet. Round to the nearest tenth.

13.3 Volume of Hemispheres

Find the volume of the hemisphere to the nearest tenth.

13.4 Congruent and Similar Solids