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Geometry Problems: Distance, Volume, and Measurements

This collection of geometry problems involves calculating distances, volumes, and heights using key mathematical formulas. Students will learn to apply the Pythagorean theorem and volume formulas for cylinders, cones, and more. Key problems include finding the width of a monitor based on its diagonal size, determining the shortest distance in a jogger's route, and computing volumes for various 3D shapes. Each problem requires rounding answers to the nearest tenth or whole number where necessary, fostering crucial problem-solving skills.

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Geometry Problems: Distance, Volume, and Measurements

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  1. Geometry Review 2

  2. 1. In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?

  3. 2. Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

  4. 3. Find the distance between the pair of points. Round to the nearest tenth, if necessary.

  5. 4. Find the distance between the pair of points. Round to the nearest tenth, if necessary.

  6. 5. Find the distance between the pair of points. Round to the nearest tenth, if necessary.

  7. 6. Find the distance between the pair of points. Round to the nearest tenth, if necessary. (-6, 3), (2, 3)

  8. 7. Find the distance between the pair of points. Round to the nearest tenth, if necessary. (6, 3), (0, 1)

  9. 8. Find the distance between the pair of points. Round to the nearest tenth, if necessary. (4, -3), (2, -7)

  10. 9. Find the distance between the pair of points. Round to the nearest tenth, if necessary. (5, 3), (-2, 3)

  11. 10. Find the volume of this cylinder using the formula V = ∏r²h 2 m 10 m

  12. 11. Find the volume of this cylinder using the formula V = 4 ∏r³ 3 9 ft

  13. 12. Find the volume of this cone using the formula V = 1 ∏r²h 3 8 mm 4 mm

  14. 13. Find the measure of the dotted line using the Pythagorean Theorem. 4 in 4 in 4 in

  15. 14. A cone shaped paper cup has a radius of 4 cm and a volume of 48∏ cubic centimeters. What is the height of the cup? V = 1 ∏r²h 3 h? 4 cm

  16. 15. Find the volume of this cylinder using the formula V = ∏r²h 20 cm 32 cm

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