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Solids, Cross Sections, and Proportions Unit Review

Explore cross sections, solid figures, and proportions in this comprehensive review. Learn shapes formed by translating and rotating figures, identifying cross sections, and solving dilation and similarity problems.

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Solids, Cross Sections, and Proportions Unit Review

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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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