Holt CA Course 2

1-1 Evaluating Algebraic Expressions

10-1: Three-Dimensional Figures10-2: Volume of Prisms and Cylinders10-3: Volume of Pyramids and Cones10-4: Surface Area of Prisms and Cylinders10-5: Surface Area of Pyramids and Cones10-6: Spheres10-7: Scaling Three-Dimensional Figures

PreviewPreviewLesson Quizzes

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-1 Three-Dimensional FiguresLesson Quiz: Part I

Describe the bases and faces of each figure. Then name each figure.

Two pentagonal bases, 5 rectangular faces; pentagonal prism

One square base, 4 triangular faces; square pyramid

1.

2.

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part II

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

polyhedron, rectangular prism

polyhedron, triangular prism

3.

4.

10-1 Three-Dimensional Figures

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-2 Volume of Prisms and CylindersLesson Quiz

Find the volume of each figure to the nearest tenth. Use 3.14 for .

306 in3942 in3 160.5 in3

No; the volume would be quadrupled because you have to use the square of the radius to find the volume.

10 in.

8.5 in.3 in.

12 in.12 in.2 in.

15 in.10.7 in.

1. 3.2.

4. Explain whether doubling the radius of the cylinder above will double the volume.

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-3 Volume of Pyramids and ConesLesson Quiz: Part l

Find the volume of each figure to the nearest tenth. Use 3.14 for .

78.5 in3

6.3 m3

1. the triangular pyramid

2. the cone

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part ll

Yes; the volume is one-third the product of the base area and the height. So if you triple the height, the product would be tripled.

3. Explain whether tripling the height of the triangular pyramid would triple the volume.

10-3 Volume of Pyramids and Cones

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-4 Surface Area of Prisms and Cylinders

3. All outer surfaces of a box are covered with gold foil, except the bottom. The box measures 6 in. long, 4 in. wide, and 3 in. high. How much gold foil was used?

Lesson QuizFind the surface area of each figure to the nearest tenth. Use 3.14 for .

1. the triangular prism

2. the cylinder 320.3 in2

360 cm2

84 in2

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part I

Find the surface area of each figure to the nearest tenth. Use 3.14 for .

1. the triangular pyramid

2. the cone175.8 in2

6.2 m2

10-5 Surface Area of Pyramids and Cones

Holt CA Course 2

1-1 Evaluating Algebraic Expressions

3. Tell whether doubling the dimensions of a cone will double the surface area.

Lesson Quiz: Part II

It will more than double the surface area because you square the radius to find the area of the base.

10-5 Surface Area of Pyramids and Cones

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-6 SpheresLesson Quiz

Find the volume of each sphere, both in terms of and to the nearest tenth. Use 3.14 for .1. r = 4 ft 2. d = 6 m

Find the surface area of each sphere, both in terms of and to the nearest tenth. Use 3.14 for .

36m3, 113.0 m385.3ft3, 267.8 ft3

2.25 mi2, 7.1 mi21936 in2, 6079.0 in23. r = 22 in 4. d = 1.5 mi

5. A basketball has a circumference of 29 in. To the nearest cubic inch, what is its volume? 412 in3

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-7 Scaling Three-Dimensional Figures

A 10 cm cube is built from small cubes, each 1 cm on an edge. Compare the following values.

1. the edge lengths of the two cubes

2. the surface areas of the two cubes

3. the volumes of the two cubes

Lesson Quiz: Part I

100:1

10:1

1000:1

Holt CA Course 2

1-1 Evaluating Algebraic Expressions

4. The surface area of a prism is 600 ft2. What is the surface area of a similar prism that is smaller by a scale factor of ?

5. A cement truck is pouring cement for a new 4 in. thick driveway. The driveway is 90 ft long and 20 ft wide. How long will it take the truck to pour the cement if it releases 10 ft3 of cement per minute?

Lesson Quiz: Part II

66.7 ft2

60 min

1 3

10-7 Scaling Three-Dimensional Figures