[Q3] WORKSHEET - COMPUTING THE VOLUME OF SOLIDS

 
Volume of Solids Worksheet (Assignment)

Instructions: Solve for the volume of each solid. Remember the units (e.g., cm³, in³).


Cube (10 problems)

  1. Side length = 5 cm
  2. Side length = 7 in
  3. Side length = 3.5 cm (Decimal allowed)
  4. A cube with a volume of 27 cm³ (Find the side length)
  5. Side length is doubled from Problem 1. What is the new volume?
  6. The side length is halved from Problem 2. What is the new volume?


Rectangular Prism (5 problems)

  1. Length = 8 cm, Width = 5 cm, Height = 3 cm
  2. Length = 4 in, Width = 2.5 in, Height = 6 in
  3. A rectangular prism with a volume of 120 in³ (Find the missing dimension if Length = 5 in and Width = 4 in)
  4. The length, width, and height of a rectangular prism are all tripled. What happens to the volume? (Write the answer as a multiple of the original volume)
  5. The length of a rectangular prism is halved, while the width and height stay the same. What happens to the volume? (Write the answer as a fraction of the original volume)


Pyramid (5 problems)

  1. Base area = 10 cm², Height = 6 cm (Square base)
  2. Base area = 15 in², Height = 8 in (Triangular base)
  3. A pyramid with a volume of 60 cm³ and a square base with side length 6 cm (Find the height)
  4. The base area of a pyramid is quadrupled, while the height stays the same. What happens to the volume? (Write the answer as a multiple of the original volume)
  5. The height of a pyramid is tripled, while the base area stays the same. What happens to the volume? (Write the answer as a multiple of the original volume)

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