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Solids, Cross Sections, and Proportions

Solids, Cross Sections, and Proportions. Unit Review. What is a cross section? The shape made when slicing a solid figure b. The solid piece removed from a solid figure. What 3D shape is formed by translating a square through space? a. Rectangle b. Pyramid c. Cylinder d. Cube.

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Solids, Cross Sections, and Proportions

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  1. Solids, Cross Sections, and Proportions Unit Review

  2. What is a cross section? • The shape made when slicing a solid figure b. The solid piece removed from a solid figure

  3. What 3D shape is formed by translating a square through space? a. Rectangle b. Pyramid c. Cylinder d. Cube

  4. What solid figure is created by rotating a rectangle in space? a. Cube b. Prism c. Cylinder d. Pyramid

  5. Which solid does NOT have a rectangle as a cross section? • Rectangular Prism • Cylinder • Sphere • Rectangular Pyramid

  6. What solid figure is formed when a triangle moves perpendicular through space? • Square pyramid • Triangular pyramid • Cone • Triangular prism

  7. What solid figure is created by rotating a triangle? • Triangular prism • Triangular pyramid • Cone • Square pyramid

  8. What solid figure has exactly 1 vertex? • Cylinder • Pyramid • Prism • Cone

  9. What solid figure has exactly two bases BUT no vertices? • Cone • Cylinder • Prism • Pyramid

  10. If a circle is rotated through space, what solid is created? • Cone • Cylinder • Prism • Sphere

  11. If a cone is sliced parallel to the base, what is the cross section? • Triangle • Oval • Circle • Square

  12. If a cylinder is sliced perpendicular to the base, what cross section is formed? • Circle • Rectangle • Square • Oval

  13. What cross section is NOT possible from a cube? • Rectangle • Triangle • Hexagon • Octagon

  14. If the corner of a cube is sliced off at an angle – going through 3 faces – what cross section is formed? • Rectangle • Triangle • Square • Trapezoid

  15. If a sphere is sliced horizontally, what cross section is formed? • Square • Triangle • Oval • Circle

  16. ANY solid that is sliced horizontal to the base will have what type of cross section? • Square • Circle • Triangle • The shape of the base of the solid

  17. A triangle has a base of 11cm and legs measuring 16cm. How wide is the base of a similar triangle with legs measuring 24 cm?

  18. 17. Will is 5 feet tall. He casts a 3 foot shadow at the same time that a tree casts a 9 foot shadow. What is the height of the tree?

  19. A rectangle has vertices A(2, 4), B(7, 4), C (7, 0), and D(2, 0). Give the coordinates of the image after dilating the original by a scale factor of 1.5.

  20. What scale factor was used in the dilation of the triangle with vertices A(4, -8), B(10, 4) and C(-2, 12) to the image with vertices A’(-3, 6), B’(-7.5, -3) and C’(1.5, -9)?

  21. 20. An equilateral triangle has a perimeter of 18cm. If the triangle is dilated by a factor of 0.5, what is the length of each side of the new triangle?

  22. 21. A model of a house was built using the scale 5in : 25ft. If a window in the model is 1.5 inches wide, how wide is the window in the actual house?

  23. A square has an area of 25 square inches. A similar square has an area of 100 square inches. What is the scale factor of the squares?

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