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aidemia--modules-homework_typeCreate a homework in a form of a quiz
Which subjectMathematics
What age groupYear or Grade 7
What topicVolume of prisms
Question typesMixed
Number of questions10
Number of answers4
Correct answersExactly 1
Show correct answers
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Grade 7 Mathematics Quiz: Volume of Prisms

Instructions:

Read each question carefully and answer as instructed. For questions with multiple-choice options, circle the letter of the correct answer.

  1. What is the formula for finding the volume of a rectangular prism?
    {The image of a rectangular prism is shown, with measurements labeled on the length, width, and height. The prism is positioned with its longer side facing forward for clarity.}
    Answer:

    • The volume ( V ) of a rectangular prism can be found using the formula:
      A. ( V = l + w + h )
      B. ( V = l \times w \times h )
      C. ( V = 2(l + w + h) )
      D. ( V = \frac{l \times w}{h} )

  2. If a triangular prism has a base area of 24 cm² and a height of 10 cm, what is its volume?
    {The image of a triangular prism is depicted, with the base area marked as 24 cm² and the height marked as 10 cm. The prism is tilted slightly for a better view of its triangular base.}
    Answer:
    Calculate the volume using the formula for a triangular prism: ( V = \text{Base Area} \times \text{Height} ).

  3. Calculate the volume of a cylindrical prism with a radius of 3 cm and a height of 5 cm.
    {The image of a cylindrical prism is displayed, featuring a marked radius of 3 cm on the circular base and a height of 5 cm shown alongside the side of the cylinder.}
    Answer:
    Use the formula ( V = \pi r^2 h ) to find the answer.

  4. What is the volume of a cube with side length 4 cm?
    {The image of a cube is presented, with all sides labeled as 4 cm. The cube is shown at an angle to demonstrate its three-dimensional shape.}
    Answer:

    • A. ( 16 \, \text{cm}^3 )
    • B. ( 64 \, \text{cm}^3 )
    • C. ( 12 \, \text{cm}^3 )
    • D. ( 8 \, \text{cm}^3 )

  5. If a hexagonal prism has a height of 7 cm and each side of its base is 2 cm, what is the volume?
    {The image of a hexagonal prism is illustrated, with the height marked as 7 cm and each side of the hexagonal base labeled as 2 cm. The prism is rotated to show its shape from an angle.}
    Answer:
    Apply the formula for the volume of a hexagonal prism: ( V = \text{Base Area} \times \text{Height} ).

  6. A square prism has a base side of 6 cm and a height of 10 cm. What is its volume?
    {The image of a square prism is shown, with the base side labeled as 6 cm and height marked as 10 cm. The square face is facing forward.}
    Answer:

    • A. ( 36 \, \text{cm}^3 )
    • B. ( 60 \, \text{cm}^3 )
    • C. ( 72 \, \text{cm}^3 )
    • D. ( 24 \, \text{cm}^3 )

  7. What is the formula used to find the volume of a pentagonal prism?
    {The image of a pentagonal prism is represented, showcasing its pentagonal base and height clearly labeled. The prism is angled to highlight both the base and the vertical height.}
    Answer:

    • A. ( V = \text{Base Area} \times \text{Height} )
    • B. ( V = \frac{1}{2} \text{Base Area} \times \text{Height} )
    • C. ( V = 2 \times \text{Base Area} + \text{Height} )
    • D. ( V = \text{Base Area} / \text{Height} )

  8. If a prism has a base area of 30 cm² and its height is 4 cm, what is its volume?
    {The image of a prism is depicted, with the base area labeled as 30 cm² and the height marked as 4 cm. It is shown in a three-dimensional perspective.}
    Answer:
    Use the formula ( V = \text{Base Area} \times \text{Height} ) to calculate the volume.

  9. What is the volume of a prism with a circular base of radius 2 cm and height 6 cm?
    {The image of a circular prism is illustrated, with the radius marked as 2 cm on the circular base and the height indicated as 6 cm along the side.}
    Answer:

    • A. ( 8\pi \, \text{cm}^3 )
    • B. ( 12\pi \, \text{cm}^3 )
    • C. ( 24\pi \, \text{cm}^3 )
    • D. ( 6\pi \, \text{cm}^3 )

  10. A rectangle has a length of 5 m, width of 3 m, and a height of 4 m. What is the volume of the rectangular prism formed?
    {The image of a rectangular prism is shown with dimensions labeled: length 5 m, width 3 m, and height 4 m. The prism is depicted in an upright position.}
    Answer:
    Calculate the volume using the formula ( V = l \times w \times h ).

Good luck with your quiz!