A toy machine contain spherical shape capsule with assorted geometrical shape toys. Oneof them contain a combined solid of two identical square based pyramid as shown in theDiagram 7.2. The diameter of the capsule is 8 cm. Calculate the volume, in cm', of the solid.LUCKY!RM 100Rajah 7.1Rajah 7.2

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Answered: A toy machine contain spherical shape…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Anjali completely filled the container shown below with 616 small cubes that were each inch long. Part A Calculate the volume of the prism. Volume of the Prism: Volume of the cube: 616 x 0.125 = 77 inch Create a graphical model of a prism with base 5.5 by 3.5 that 05*3 = 0.125 inch Part B has the same volume as Part A. Show how Anjali can calculate the volume of the prism, in cubic inches, by using a volume formula instead of filling the container with small cubes.
These two three-dimensional figures are similar with a scale factor of 2 from the smaller figure to the larger figure. The surface area and volume of the smaller figure are recorded in the first line of the table below. Record the surface area and volume of the larger figure in the second line of the table. Then compute and record the surface area and volume of figures similar to the smaller figure using the other scale factors in the table. Scale Surface Area Factor (Square Units) (Cubic Units) Volume 1 28 8 3 4 ( Prev 16 of 20 Next >
5. A cylindrical pail has a radius of 7 inches and a height of 10 inches. Approximately how many gallons will the pail hold if there are 231 cubic inches to a gallon ?
A rectangular box without a lid must have a volume of 2 cubic meters. Suppose the material used on the sides costs 3 dollars per square meter, and the material used on the bottom costs 6 dollars each square meter. Determine box dimensions in meters at the lowest possible cost. Give the answer the cube height value of the box.
34) An oblique prism has a rectangular base that measures 10 inches by 8 inches and slanted edges that measure 12 inches. The slanted edge forms a 60-degree angle with the 10-inch edge as shown in the figure below. (a) What is the height? (Hint: Recall the relationship between the sides of a 30-60-90-degree right triangle.) (b) What is the volume of the oblique prism?
cone. 2. Tyrion creates a set of nesting shapes as a toy set for his baby nephew. The outer figure is a cube with an edge length of 20 centimeters. The middle figure is a square pyramid with an identical square base and the same height as the cube. The innermost figure is a cone with a diameter and height equal to the edge of the cube. Calculate each difference in the volumes. Round your answers to the nearest whole cubic centimeter. Difference between cube and pyramid: cubic inches Difference between pyramid and cone: cubic inches Difference between cube and cubic inches cone: Discovery Education | www.Discovery Education.com D. E. 4. A cylinc has the s Which o A. T B. 11 CO C. A VO the D. As volu volu
12. An Ice Cream Cone An ice cream cone is 4 inches deep and 2 inches across the top. (See Figure 3.16.) If we wanted to make a king-size cone that has the same shape but is 2.5 inches across the top, how deep would the cone be? 2.5 2 FIGURE 3.16 Ice cream cones

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