P Preliminary Concepts 1 Line And Angle Relationships 2 Parallel Lines 3 Triangles 4 Quadrilaterals 5 Similar Triangles 6 Circles 7 Locus And Concurrence 8 Areas Of Polygons And Circles 9 Surfaces And Solids 10 Analytic Geometry 11 Introduction To Trigonometry A Appendix Chapter9: Surfaces And Solids
9.1 Prisms, Area And Volume 9.2 Pyramids, Area, And Volume 9.3 Cylinders And Cones 9.4 Polyhedrons And Spheres 9.CR Review Exercises 9.CT Test Section9.1: Prisms, Area And Volume
Problem 1E: Consider the solid shown. a Does it appear to be a prism? b Is it right or oblique? c What type of... Problem 2E: Consider the solid shown. a Does it appear to be a prism? b It is right or oblique? c What type of... Problem 3E: Consider the hexagonal prism shown in Exercise 1. a How many vertices does it have? b How many edges... Problem 4E: Consider the triangular prism shown in Exercise 2. a How many vertices does it have? b How many... Problem 5E Problem 6E Problem 7E: Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm2 and that... Problem 8E: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 in2 and that... Problem 9E: Suppose that each of bases of the hexagonal prism in Exercise 1 has an area o f 12 cm2 and that the... Problem 10E: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 cm2 and that... Problem 11E: A solid is an octagonal prism. a How many vertices does it have? b How many lateral edges does it... Problem 12E: A solid is a pentagonal prism. a How many vertices does it have? b How many lateral edges does it... Problem 13E: Generalize the results found in Exercise 11 and 12 by answering each of the following questions.... Problem 14E: In the accompanying regular pentagonal prism, suppose that each base edge measures 6 in. and that... Problem 15E: In the regular pentagonal prism shown above, suppose that each base edge measures 9.2 cm and that... Problem 16E: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and... Problem 17E: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base... Problem 18E Problem 19E: Given that 12 in. =1 ft, find the number of cubic inches in 1 cubic foot. Problem 20E: Find the volume and the surface area of a closed box that has dimensions of 9 in., 10 in., and 1 ft. Problem 21E: Find the volume and the surface area of a closed box that has dimensions of 15 cm, 20 cm, and 0.25... Problem 22E: A cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches... Problem 23E: The measures of the sides of the square base of a box area twice the measure of the height of the... Problem 24E: For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than... Problem 25E: For the box shown, the total area is 94 cm2. Determine the value of x. Problem 26E: If the volume of the box is 252 in3, find the value of x. Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch... Problem 28E: A hollow steel door is 32 in. wide by 80 in. tall by 138 in. thick. How many cubic inches of foam... Problem 29E: A storage shed is in the shape of a pentagonal prism. The front represents one of its two pentagonal... Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases.... Problem 31E Problem 32E Problem 33E: When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What... Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area.... Problem 35E: The sum of the lengths of all edges of a cube is 60 cm. Find the volume V and the surface area T of... Problem 36E Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat... Problem 38E: In excavating for a new house, the Philpott Brothers dig a hole in the shape of a right rectangular... Problem 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of... Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in.... Problem 41E: For Exercise 41 to 44, 1 ft3 of liquid corresponds to 7.5 gallons of the liquid. Kiannas aquarium is... Problem 42E: For Exercise 41 to 44, 1 ft3 of liquid corresponds to 7.5 gallons of the liquid. The gasoline tank... Problem 43E Problem 44E: For Exercise 41 to 44, 1 ft3 of liquid corresponds to 7.5 gallons of the liquid. After a devastating... Problem 45E: For Exercise 45 to 47, consider the oblique regular pentagonal prism shown. Each side of the base... Problem 46E: For Exercise 45 to 47, consider the oblique regular pentagonal prism shown. Each side of the base... Problem 47E: For Exercise 45 to 47, consider the oblique regular pentagonal prism shown. Each side of the base... Problem 48E: It can be shown that the length of a diagonal of a right rectangular prism with dimensions l, w, and... Problem 49E: A diagonal of a cube joins two vertices so that the remaining points of the diagonal lie in the... Problem 33E: When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What...
Related questions
If the altitude and the base of a triangle were each increased by 2 cm, the area would increase by 19 cm2 . If the altitude is increased by 3 cm and the base is decreased by 4 cm, the area will be decreased by 5 cm2 . Find the base of the triangle.
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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