10-1 Three-Dimensional Figures 10-2 Volume of Prisms and Cylinders

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10-1 Three-Dimensional Figures 10-2 Volume of Prisms and Cylinders

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10-1 Three-Dimensional Figures 10-2 Volume of Prisms and Cylinders

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Warm Ups

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10-1 Three-Dimensional Figures

10-2 Volume of Prisms and Cylinders

10-3 Volume of Pyramids and Cones

10-4 Surface Area of Prisms and Cylinders

10-5 Surface Area of Pyramids and Cones

10-6 Spheres

10-7 Scaling Three-Dimensional Figures

10-1 Three-Dimensional Figures

Warm Up

Identify each two-dimensional figure described.

1.four sides that are all congruent

2. six sides

3. four sides with parallel opposite sides

4. four right angles and four congruent sides

rhombus

hexagon

parallelogram

square

10-2 Volume of Cylinders and Prisms

Warm Up

Find the area of each figure described. Use 3.14 for p.

1. a triangle with a base of 6 feet and a height of 3 feet

2. a circle with radius 5 in.

9 ft2

78.5 in2

10-3 Volume of Pyramids and Cones

- Warm Up
- 1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide, and 48 in deep.
- 2. A cylinder has a height of 4.2 m and a diameter of 0.6 m. To the nearest tenth of a cubic meter, what is the volume of the cylinder? Use 3.14 for p.
- 3. A triangular prism’s base is an equilateral triangle. The sides of the triangle are 4 ft, and the height of the prism is 8 ft. To the nearest cubic foot, what is the volume of the prism?

3072 in3

1.2 m3

55.4 ft3

10-4 Surface Area of Prisms and Cylinders

Warm Up

1. A triangular pyramid has a base area of 1.2 m2 and a height of 7.5 m. What is the volume of the pyramid?

2. A cone has a radius of 4 cm and a height of 10 cm. What is the volume of the cone to the nearest cubic centimeter?Use 3.14 for p.

3 m3

167 cm3

10-5 Surface Area of Pyramids and Cones

Warm Up

1. A rectangular prism is 0.6 m by 0.4 m by 1.0 m. What is the surface area?

2. A cylindrical can has a diameter of 14 cm and a height of 20 cm. What is the surface area to the nearest tenth? Use 3.14 for .

2.48 m2

1186.9 cm2

10-6 Spheres

Warm Up

1. Find the surface area of a square pyramid whose base is 3 m on a side and whose slant height is 5 m.

2. Find the surface area of a cone whose base has a radius of 10 in. and whose slant height is 14 in. Use 3.14 for .

39 m2

753.6 in2

10-7 Scaling Three-Dimensional Figures

Warm Up

Find the surface area of each rectangular prism.

1.length 14 cm, width 7 cm, height 7 cm

2. length 30 in., width 6 in., height 21 in.

3. length 3 mm, width 6 mm, height 4 mm

4. length 37 in., width 9 in., height 18 in.

490 cm2

1872 in2

108 mm2

2322 in2