Formula for Volume of Cylinders, Prisms and Pyramids

Sheila believes that the two cylinders shown in the diagram below have equal volumes. Is Sheila correct or incorrect? Select ALL that apply.

• Sheila is incorrect. The volumes of both cylinders are not equal.

• Sheila is incorrect. One of the cylinders is tilted.

• Sheila is correct. When two cylinders have the same base areas and the same height, their volumes must be the same.

• Sheila is correct. Both cylinders radii and height are equal, so their volumes are the same.

The cross-sectional areas of the right prisms shown are equal. Which of the following is true?

• The volume of the triangular prism is half the volume of the rectangular prism.

• The volume of the triangular prism is twice the volume of the rectangular prism.

• The volume of the triangular prism is equal to the volume of the rectangular prism.

• The volume of the triangular prism is one-third the volume of the rectangular prism.

Which statement best describes how the volume of a square-based pyramid is related to the volume of a cube?

• The volume of a square-based pyramid is 3 times the volume of a cube because a cube can be divided into three congruent square-based pyramids.

• The volume of a square-based pyramid is 2 times the volume of a cube because each face of the cube can be divided into two congruent triangles.