Practice A Introduction to Three-Dimensional Figures
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1 Name Date Class Identify the base of each prism or pyramid. Then choose the name of the prism or pyramid from the box. rectangular prism square pyramid triangular prism pentagonal prism square prism triangular pyramid hexagonal prism rectangular pyramid hexagonal pyramid pentagonal pyramid octagonal prism Holt Mathematics N D P R I N T
2 Identify the base of each prism or pyramid. Then choose the name of the prism or pyramid from the box. rectangular prism square pyramid triangular prism pentagonal prism square prism triangular pyramid hexagonal prism rectangular pyramid hexagonal pyramid pentagonal pyramid octagonal prism Practice B Identify the base or bases of each figure. square, square pyramid triangular pyramid pentagon, pentagonal prism rectangle, triangular pyramid rectangular prism square, square pyramid rectangle, rectangular prism hexagon, hexagonal pyramid octagon, octagonal prism hexagon, hexagonal prism triangular prism pentagon, pentagonal pyramid not a hexagonal prism cylinder rectangular pyramid not a cone octagonal prism rectangular pyramid triangular prism not a cone pentagonal pyramid Holt Mathematics 4 Holt Mathematics Practice C Identify the base or bases of each figure. A polyhedron is a three-dimensional figure whose faces are polygons. There are two types of polyhedrons. Prisms Reteach Pyramids rectangle, rectangular pyramid pentagonal pyramid Identify the three-dimensional figure described. 7. three pairs of congruent rectangular sides 8. square base, four triangular faces 9. equilateral triangular base, three congruent equilateral triangular faces 10. two pentagonal bases, five parallelogram faces 11. two congruent circular bases triangular prism not a cone octagon, octagonal prism hexagonal prism rectangular prism square pyramid triangular pyramid pentagonal prism cylinder A prism has bases that are congruent and parallel polygons. The other faces are parallelograms or rectangles. Prisms and pyramids are named by their bases. 1. Look at the figure at the right. Its base is a square. Its faces are triangles. It is called a square pyramid.. Look at the figure at the right. It has congruent and parallel bases that are pentagons. Its faces are rectangles. It is called a pentagonal prism. If a three-dimensional figure has a face that is curved, it is not a polyhedron. Is each figure a polyhedron? A pyramid has one base that is a polygon. Its faces are triangles that meet at one vertex. not a polyhedron 1. hexagonal base, six triangular faces hexagonal pyramid yes no yes 5 Holt Mathematics 6 Holt Mathematics 45 Holt Mathematics
3 Name Date Class volume. 10 cubes, 10 cubic units 6 cubes, 6 cubic units Find the volume of each figure. Choose the letter for the best answer in. 5 cm 6. A 14 in C 8 in B 1 in D 84 in 8 m 7 in. 4.5 m in. 6m A 48 m C 16 m B 16 m D Not Here 8 cm F 40 cm H 180 cm G 7 cm J 60 cm 7. 0 cm F 60 cm H 70 cm G 60 cm J 810 cm 1 cm 8. Ajuice can is shaped like a cylinder. It is 1 centimeters wide and 16 centimeters tall. Find its volume to the nearest whole number. Use.14 for. 1,80 16 cm 11 Holt Mathematics
4 volume. Practice B volume. 10 cubes, 10 cubic units Find the volume of each figure. Choose the letter for the best answer A 14 in C 8 in B 1 in D 84 in 8 m 7 in. 4.5 m 4 in. in. 6 m A 48 m C 16 m B 16 m D Not Here 6 cubes, 6 cubic units F 40 cm H 180 cm G 7 cm J 60 cm 7. 0 cm 8 cm 5 cm F 60 cm H 70 cm G 60 cm J 810 cm 1 cm 8. A juice can is shaped like a cylinder. It is 1 centimeters wide and 16 centimeters tall. Find its volume to the nearest whole number. Use.14 for. 1,80 16 cm Find the volume of each figure. 10 yd 8.1 in. 9 in. 180 in 1 in. 79 in 10. A travel mug is shaped like a cylinder. It is 9 centimeters wide and 15 centimeters tall. Find its volume to the nearest tenth. Use.14 for cm 4 in cubic units 5 yd 11 cm 4 cubes, 9 yd 5 yd 1 cm 57.5 cm 5 cm 1 m 0 cubes, 0 cubic units.7 in in 18 m 1,05 m 7.4 in..1 in. 11 Holt Mathematics 1 Holt Mathematics Practice C volume to the nearest tenth. Find the volume of each figure to the nearest tenth. 4.1 in. 7 cm 7 ft 8. in in.5 ft 5.9 ft.7 in. 4.4 ft 15 cubes, 15 cubic units 10.5 cm cm 1.0 m 10. A vase is in the shape of a cylinder with a diameter of 5 inches and a height of 9 inches. What is the volume of the vase? Use.14 for. 11. A glass is shaped like a cylinder. The glass has a volume of centimeters and a radius of 4 centimeters. What is the height? 1.7 cm.5 cm 0. cm 6.8 cm in 1 cm 1. The base of a triangular prism is a right triangle with hypotenuse 1 inches long and one leg 1 inches long. The height of the prism is 8 inches. What is the volume of the prism? 40 in 7. m 1 cm 1 Holt Mathematics m cubes, 48 cubic units 8. m 6.5 m 6. m 5.8 m Reteach The volume of a three-dimensional figure is the amount of space it takes up. Volume is measured in cubic units. Find the volume of the prism. 1. Think of the prism as layers of cubes. There are 6 cubes in the bottom layer.. There are layers of cubes.. Multiply the number of cubes in the bottom layer by the number of layers. The volume of the prism is 18 cubic units. The volume of a prism or a cylinder is the area of its base times its height. volume base height, or V B h Find the volume of the prism. 4. What is the shape of the base? 5. The area of the base is B 1 bh B in 6. The height of the prism is 7. V B h in Find the volume of the cylinder to the nearest whole number. 8. What is the shape of the base? circle 9. The area of the base is A r. A.14 triangle 4 50 cm cm 10. The height of the cylinder is cm. 11. V B h cm in. 14 Holt Mathematics 6 in. 47 Holt Mathematics
5 Name Date Class Write the formula for the volume of a pyramid. V 1 Bh. Write the formula for the volume of a cone. V 1 r h Find the volume of each pyramid or cone to the nearest whole number. Use.14 for. Cross out each number in the box that matches a volume., m 10 ft 15 ft cm m m 6 m 0 ft 500 ft B = 9. cm 6 cm in mm 4 yd yd in. 15 mm 8 yd 8 in,86 mm m 0 ft 1 m in. 9 ft 6 ft 540 m in 60 ft 19 Holt Mathematics
6 10-1. Write the formula for the volume of a pyramid.. Write the formula for the volume of a cone. Find the volume of each pyramid or cone to the nearest whole number. Use.14 for. Cross out each number in the box that matches a volume m m m 10 ft 15 ft 0 ft V 1 Bh V 1 r h, m 500 ft 6 cm in. 8. B = 9. cm cm 1 mm 10- Practice B Find the volume of each pyramid to the nearest tenth yd.. 14 in. 11 yd.7 yd ft 6. B =1m 5 m Find the volume of each cone to the nearest tenth ft ft 7 yd 5 m 8 ft 10 in in 15 ft 00 ft 7.6 m 6 cm 108 cm 105 m 6 cm B = 5 m 4 yd in. yd 8 yd 8 in m 1 m in. 540 m in,86 mm 0 ft 9 ft 6 ft 60 ft 15 mm 5 m ft in ft in. 6 cm.5 cm ft 9. cm 9. ft in 19 Holt Mathematics 0 Holt Mathematics 10- Practice C Find the volume of each pyramid to the nearest tenth. 7.1 m 4.8 m Find the volume of each cone to the nearest tenth. 8 yd 5. m 60. m 410. yd 7 yd 18 ft 9 in. Find the volume of each solid to the nearest tenth. 7. rectangular pyramid 7 ft by ft by 9 ft high 8. cone with radius 8 m and height 11 m 8 ft 600 ft 1 in in 5 ft B = 7. cm 49.1 cm. m 14.8 m 6 ft 5..1 m Reteach The volume of a prism with base area B and height h is V Bh. B Find the volume of each pyramid. 1. The area of the base is B w 5 15 ft. The height of the pyramid is 6 ft. 15. V 1 Bh 1 ft cm 7 cm h 6 0 A pyramid with the same base B and height h has the volume V 1 Bh. 11 yd B 6 ft 5 ft h ft yd 9. square pyramid with a 4 ft base and height 7 ft 10. cone with diameter 1 and height 0 in. 11. cone with diameter 11 in. and height of 6 in. 7. ft 1,177.5 in in in 4 yd 5 m yd 1. triangular pyramid with height 10 cm and a base that is a right triangle with legs of cm and 0 cm 6 in. 6 in. B = 5.4 m 1 Holt Mathematics Holt Mathematics 49 Holt Mathematics
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Additional Options: Hide Multiple Choice Answers (Written Response) Open in Microsoft Word (add page breaks and/or edit questions) Generation Date: 11/25/2009 Generated By: Margaret Buell Copyright 2009
Geometry--Unit 10 Study Guide
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G-GMD.1- I can explain the formulas for volume of a cylinder, pyramid, and cone by using dissection, Cavalieri s, informal limit argument.
G.MG.2 I can use the concept of density in the process of modeling a situation. 1. Each side of a cube measures 3.9 centimeters. Its mass is 95.8 grams. Find the density of the cube. Round to the nearest
Write Euler s Theorem. Solving Problems Using Surface Area and Volume. Figure Surface Area Volume. Cl V 5 1 } 3
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Volume of Rectangular Prisms and Pyramids. Use the formula. Substitute for l and w. Use the formula. Substitute for B and h.
? LESSON 10.1 ESSENTIAL QUESTION Volume of Rectangular Prisms and Pyramids How do you find the volume of a rectangular prism and a rectangular pyramid? Finding the Volume of a Rectangular Prism Remember
The radius for a regular polygon is the same as the radius of the circumscribed circle.
Perimeter and Area The perimeter and area of geometric shapes are basic properties that we need to know. The more complex a shape is, the more complex the process can be in finding its perimeter and area.
Chapter Test Form A. 187 Holt Geometry. Name Date Class
10 Form A Circle the best answer. 1. Which three-dimensional figure does NOT have a vertex? A cylinder B rectangular prism C rectangular pyramid D triangular prism 5. Use Euler s formula to determine which
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Chapter 7. Description or Example. Found on Page. Vocabulary Term. Definition. base. center. circumference. chord. complex figure. cone.
C H A P T E R 7 This is an alphabetical list of new vocabulary terms you will learn in Chapter 7. As you complete the study notes for the chapter, you will see Build Your Vocabulary reminders to complete
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Content Standard MAFS.6.G Geometry MAFS.6.G.1 Solve real-world and mathematical problems involving area, surface area, and volume. Assessment Limits Calculator s Context A shape is shown. MAFS.6.G.1.1
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A triangle that has three acute angles Example:
1. acute angle : An angle that measures less than a right angle (90 ). 2. acute triangle : A triangle that has three acute angles 3. angle : A figure formed by two rays that meet at a common endpoint 4.
Digits. Value The numbers a digit. Standard Form. Expanded Form. The symbols used to show numbers: 0,1,2,3,4,5,6,7,8,9
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