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
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 10. 11. 1. 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?. 4. 5. 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
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. 4. 5. 4 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
volume. Practice B volume. 10 cubes, 10 cubic units Find the volume of each figure. Choose the letter for the best answer. 4. 5. 6. 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. 95.8 cm 4 in. 7. 4 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. 57.498 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. 14.4 in.5 ft 5.9 ft.7 in. 4.4 ft 15 cubes, 15 cubic units 10.5 cm 477.8 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 60.88 centimeters and a radius of 4 centimeters. What is the height? 1.7 cm.5 cm 0. cm 6.8 cm 176.6 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 0. 48 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 1 6 9 in 6. The height of the prism is 7. V B h 9 5 45 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 50 150 cm in. 14 Holt Mathematics 6 in. 47 Holt Mathematics
Name Date Class 10-1. 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.,86 4 8 500 60 6 471 6 7 8 540. 4. 5. 1 m 10 ft 15 ft cm m m 6 m 0 ft 500 ft B = 9. cm 6 cm 6. 7. in. 8. 1 mm 4 yd yd in. 15 mm 8 yd 8 in,86 mm 9. 10. 11. 15 m 0 ft 1 m in. 9 ft 6 ft 540 m in 60 ft 19 Holt Mathematics
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.. 4. 5. 1 m m m 10 ft 15 ft 0 ft V 1 Bh V 1 r h,86 4 8 500 60 6 471 6 7 8 540 6 m 500 ft 6 cm 6. 7. in. 8. B = 9. cm cm 1 mm 10- Practice B Find the volume of each pyramid to the nearest tenth. 1. 1 yd.. 14 in. 11 yd.7 yd 4. 5. 10 ft 6. B =1m 5 m Find the volume of each cone to the nearest tenth. 7. 4 ft 8. 9. 1 ft 7 yd 5 m 8 ft 10 in. 116.7 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 9. 10. 11. 15 m 1 m in. 540 m in,86 mm 0 ft 9 ft 6 ft 60 ft 15 mm 5 m. 01.0 ft 198..7 in 10. 11. 9.8 ft 1. 4. in. 6 cm.5 cm ft 9. cm 9. ft 147.7 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. 98.0 in 5 ft B = 7. cm 49.1 cm. m 14.8 m 6 ft 5..1 m 76. 10- 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 4. 5. 4 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 190.0 in 6. 7. 96 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