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 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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please ansswer this question. this is for vector analysis (engineering mathmatics). many thanks
Transcribed Image Text: Question 1
The mass density of a cube is given by p = x² + y²+z² kg m³. Calculate the total mass of the
cube if its side is 2 m and it is centred on the origin of (x, y, z).
Calculus that deals with differentiation and integration of the vector field in three-dimensional Euclidean space. It deals with quantities that have both magnitude and direction.
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