1. Use the rectangular prism. Are AB-segment and DG-segment intersecting, parallel, or skew?
Graphic
intersecting
parallel
skew
2. For a school project, Ezra made stacks of sugar cubes and glued the stacks together. Below is a top view of the project. The numbers tell how many sugar cubes are in each stack. Which pair of figures show the front and left views of the project?
Graphic
Graphic
Graphic
Graphic
none of these
3. Find the surface area of the cone to the nearest whole unit.
Graphic
1,408 ft2
13,273 ft2
1,552 ft2
none of these
4. A sphere has a radius of 6.8 ft. Find its radius to the nearest square foot.
Approximately 2,323 square feet
Approximately 581 square feet
Approximately 145 square feet
Approximately 97 square feet
5. Use the rectangular prism. Are BC-segment and HG-segment intersecting, parallel, or skew?
Graphic
intersecting
parallel
skew
6. A sphere has a radius of 8.5 ft. Find its surface area to the nearest square foot.
Approximately 289 square feet
Approximately 363 square feet
Approximately 907 square feet
Approximately 3,630 square feet
7. Find the height of the cylinder.
Graphic
79.2 in.
2.6 in.
77.2 in.
2.8 in.
8. Which figure is the base plan of this solid?
Graphic
Graphic
Graphic
Graphic
Graphic
9. For the pair of similar solids, find the value of the variable.
Graphic
5 in.
4.4 in.
4.2 in.
4.6 in.
10. Find the lateral area and surface area of the figure. Round your answer to the nearest hundredth, if necessary.
Graphic
730.08 m2; 785.08 m2
65 m2; 715 m2
25 m2; 1,430 m2
665.08 m2; 720.08 m2
11. Name the common solids that make up the structure.
Graphic
rectangular prism, trapezoidal prism, cube, square pyramid
rectangular prism, trapezoidal prism, cube, cone
rectangular prism, triangular prism, cube, square pyramid
rectangular prism, trapezoidal prism, cube, triangular prism
12. List the shapes that make up the net for the figure with the number of times each shape is used.
Graphic
3 triangles, 2 rectangles
5 triangles
2 triangles, 4 rectangles
2 triangles, 3 rectangles
13. Draw a base plan for the set of stacked cubes.
Graphic
Graphic
Graphic
Graphic
not here
14. A sphere has a diameter of 8 m. Find its volume to the nearest cubic meter.
Approximately 268 cubic meters
Approximately 477 cubic meters
Approximately 804 cubic meters
Approximately 2,145 cubic meters
15. The surface area of a solid is 112 m2, and its volume is 56 m3. The ratio of corresponding dimensions of a similar solid is 3 over 2. Find the surface area and volume of the similar solid.
S.A. = 168 m2; V = 84 m3
S.A. = 378 m2; V = 126 m3
S.A. = 252 m2; V = 189 m3
S.A. = 75 m2; V = 37 m3
16. Find the volume of a rectangular prism measuring 10 in. by 9 in. by 7 in.
630 in.3
446 in.2
446 in.3
630 in.2
17. Which solid figure will this net make?
Graphic
Graphic
Graphic
Graphic
Graphic
18. Find the volume of the prism.
Graphic
192.5 m3
46 m3
385 m3
28.5 m3
19. Which solid figure will this net make?
Graphic
Graphic
Graphic
Graphic
Graphic
20. Find the volume of the figure to the nearest cubic unit.
Graphic
112 ft3
86 ft3
100 ft3
37 ft3
Holy smoke! An entire test and not a thought of your own? The test is undoubtedly copyrighted. Posting this is cheating (asking others to answer the questions on a test!), as well as illegal. In addition, no graphics appear.
=(
I am having a little trouble visualizing the geometry :)
1. The AB-segment and DG-segment are intersecting.
2. None of these figures show the front and left views of the project.
3. The surface area of the cone is 1,408 ft^2.
4. The radius of the sphere is approximately 145 square feet.
5. The BC-segment and HG-segment are parallel.
6. The surface area of the sphere is approximately 907 square feet.
7. The height of the cylinder is 2.6 in.
8. Figure A is the base plan of the solid.
9. The value of the variable is 4.6 in.
10. The lateral area of the figure is 665.08 m^2 and the surface area is 720.08 m^2.
11. The common solids that make up the structure are rectangular prism, trapezoidal prism, cube, and square pyramid.
12. The net for the figure consists of 2 triangles and 3 rectangles.
13. The base plan for the set of stacked cubes is not provided.
14. The volume of the sphere is approximately 268 cubic meters.
15. The surface area of the similar solid is 168 m^2 and the volume is 84 m^3.
16. The volume of the rectangular prism is 630 in^3.
17. This net will make a pyramid.
18. The volume of the prism is 192.5 m^3.
19. This net will make a rectangular prism.
20. The volume of the figure is 37 ft^3.
1. To determine if AB-segment and DG-segment are intersecting, parallel, or skew, we need to analyze their orientation in the rectangular prism. Intersecting segments cross each other, parallel segments lie in the same plane without intersecting, and skew segments do not lie in the same plane and do not intersect. Please provide a graphic or additional information to determine the orientation of the segments.
2. To find the front and left views of Ezra's sugar cube project, we need to match the top view with the appropriate figures. Please provide the figures or additional information for us to determine the correct pair.
3. To find the surface area of a cone, we need to know its dimensions. Please provide the measurements of the cone (such as radius and slant height) so we can calculate the surface area.
4. The radius of a sphere is a measure of length, not square feet. To find the radius of a sphere, simply provide the value of the radius in feet.
5. Similar to question 1, we need a graphic or additional information to determine the orientation (intersecting, parallel, or skew) of BC-segment and HG-segment in the rectangular prism.
6. To find the surface area of a sphere, we need to know the radius. Please provide the radius of the sphere in order for us to calculate the surface area.
7. To find the height of the cylinder, we need to know other dimensions such as the diameter or the radius. Please provide the necessary information in order to determine the height.
8. To identify the base plan of a solid, we need a graphic or additional information describing the shape and structure of the solid.
9. The value of the variable in similar solids depends on the given information or ratios of corresponding dimensions. Please provide the information or ratios to find the value of the variable.
10. To find the lateral area and surface area of a figure, we need more specific information about the figure, such as its dimensions or specific measurements. Please provide the necessary details for a more accurate calculation.
11. To name the common solids that make up a structure, we need a graphic or description of the structure in order to identify the specific shapes involved.
12. To list the shapes that make up the net for a figure, we need a graphic or more specific information about the figure and its net. Please provide the necessary details for us to identify the shapes and their quantities.
13. To draw a base plan for a set of stacked cubes, we need more specific information about the arrangement and size of the cubes. Please provide the necessary details for an accurate illustration.
14. To find the volume of a sphere, we use the formula V = (4/3)πr³, where r is the radius. Please provide the radius of the sphere so we can calculate the volume.
15. To find the surface area and volume of a similar solid based on the given ratio, we need more specific information about the dimensions of the original and similar solids. Please provide the necessary information for an accurate calculation.
16. To find the volume of a rectangular prism, we multiply the length, width, and height. Please provide the appropriate dimensions of the prism so we can calculate the volume.
17. To determine which solid figure a net will make, we need to see the net or have a description of its shape and structure. Please provide the necessary information for us to identify the solid figure.
18. To find the volume of a prism, we need the base area multiplied by the height. Please provide the necessary dimensions and measurements of the prism to calculate the volume.
19. Similar to question 17, we need to see the net or have a description of its shape and structure in order to determine which solid figure it will make.
20. To find the volume of a figure, we need more specific information about the figure's dimensions or measurements. Please provide the necessary details for a precise calculation.