Grade 8 Geometry Problems and Questions with Answers

Geometry problems and questions with answers for grade 8 are presented. These problems and questions deal with calculating angles, perimeters, areas and volumes. Questions on similarity and reflection are also included. Also solutions and explanations are included.

  1. Find the total surface area and the volume of a closed cylindrical container with radius 5 cm and a height of 34 cm.

  2. Find the total surface area and the volume of a closed conical container with radius 5 cm and a height of 15 cm.(round your answer to the nearest unit.)

  3. A cube has a total surface area of the six faces equal to 150 square feet. What is the volume of the cube?

  4. Which two angles are complementary?

    1. 21 degrees and 78 degrees
    2. 58 degrees and 22 degrees
    3. 67 degrees and 23 degrees
    4. 140 degrees and 40 degrees

  5. Which two angles are not supplementary?

    1. 30 degrees and 150 degrees
    2. 5 degrees and 175 degrees
    3. 89 degrees and 91 degrees
    4. 23 degrees and 177 degrees

  6. Find the height h of the trapezoid so that its area is equal to 400 square cm.

    geometry problem 6 .


  7. Find the width w of the parallelogram so that its area is equal to 600 square feet.

    geometry problem 7.


  8. Find area of the shaded shape.

    geometry problem 8 .


  9. Find the total surface area of the box open at the top.

    geometry problem 9.


  10. If the quadrilateral ABCD is a parallelogram, what are the coordinates of point D?

    geometry problem 10 .


  11. Which of these are right triangles?

    geometry problem 11 .


  12. Find x if triangle ABC is a right triangle.

    geometry problem 12 .


  13. Find all the unknown sides x, y, z and w if all three triangles are similar.

    geometry problem 13 .


  14. A quadrilateral with vertices (-2,6) , (6,8) , (9,2) and (4,-1) is reflected on the x axis. What are the coordinates of the vertices of the quadrilateral after reflection?

  15. The side of cube A is 3 times the side of cube B. The volume of cube A is 3,375 cubic feet. Find the volume of cube B.

  16. The length of rectangle A is 24 cm and the length of rectangle B is 96 cm. The two rectangles are similar. Find the ratio of the area of A to the area of B.


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Updated: 6 April 2009 (A Dendane)
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