Create a homework in a form of a quiz. The academic subject for which the text must be created - Mathematics. Content must be appropriate fo...
aidemia--modules-homework_typeCreate a homework in a form of a quiz
Which subjectMathematics
What age groupYear or Grade 9
What topicAreas and volume review. Surface Area and complex figures
Question typesOpen-ended
Number of questions10
Number of answers4
Correct answersExactly 1
Show correct answers
Use images (descriptions)
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Mathematics Quiz: Areas and Volume Review

Instructions:


  1. Question 1
    {The image of a rectangular prism with a length of 10 cm, width of 5 cm, and height of 4 cm displayed in three dimensions.}
    What is the volume of the rectangular prism?

  2. Question 2
    {The image of a cylinder with a radius of 3 cm and height of 7 cm shown in profile view.}
    Calculate the surface area of the cylinder.

  3. Question 3
    {The image of a triangular pyramid (tetrahedron) with a triangular base measuring 6 cm per side and a height of 9 cm, viewed from the side.}
    What is the volume of the triangular pyramid?

  4. Question 4
    {The image of a composite figure consisting of a rectangle (10 cm by 4 cm) attached to a semicircle (radius 2 cm) on one of the longer sides.}
    What is the total area of the composite figure?

  5. Question 5
    {The image of a sphere with a radius of 5 cm displayed with lines indicating volume and surface area.}
    What is the surface area of the sphere?

  6. Question 6
    {The image of a square pyramid with a base side of 8 cm and height of 10 cm, shown from an angle to highlight its height and base.}
    Find the volume of the square pyramid.

  7. Question 7
    {The image of a cone with a radius of 4 inches and a height of 6 inches, drawn in 3D to show its curved surface.}
    What is the surface area of the cone?

  8. Question 8
    {The image of a trapezoidal prism with the bases measuring 5 cm and 9 cm, a height of 4 cm, and an overall height of 10 cm, shown with dotted lines to indicate the height.}
    What is the volume of the trapezoidal prism?

  9. Question 9
    {The image of a rectangular box (cuboid) with dimensions 12 cm, 8 cm, and 3 cm, illustrated in three dimensions to reveal both surface area and volume.}
    What is the surface area of the rectangular box?

  10. Question 10
    {The image of a pentagonal prism with a base side length of 6 cm and a height of 10 cm, displayed at an angle showing the pentagonal base.}
    Calculate the volume of the pentagonal prism.


Correct Answers:

  1. 200 cm³
  2. 188.4 cm²
  3. 54 cm³
  4. 52.26 cm²
  5. 314.16 cm²
  6. 106.67 cm³
  7. 50.27 in²
  8. 200 cm³
  9. 216 cm²
  10. 180 cm³

Please double-check your answers and ensure that you understand how to arrive at each solution!