Math 6- week 1 Lesson

Which of the following statements correctly describe the volume of prisms and pyramids with the same dimensions?

• The volume of a pyramid is one-third of the volume of a prism

• The volume of a pyramid is one-fourth of the volume of a prism

• The volume of a pyramid is one-third greater than the volume of a prism

• The volumes of a pyramid and prism are the same because their bases are the same.

sphere is inscribed in a cylinder, such that the point on a curve line touches the inner surface of the cylinder. What is the ratio of the volume of the sphere to the volume of the cylinder?

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cylinder and a cone have the same radius and height. How will you compare the volume of the cone to the volume of the cylinder?

• The volume of the cone is two-third the volume of the cylinder

• The volume of the cone is four-third the volume of the cylinder

• The volume of the cone is one-third the volume of the cylinder

• The relationship of the volumes of the cylinder and cone cannot be determined.

Consider the radius and height of a cone, a cylinder and a sphere to be the same. Which correctly arranges the figures from smallest to largest?

• Sphere, Cylinder, Cone

• Cone, Sphere, Cylinder

• Cylinder, Cone, Sphere

• Cone, Cylinder, Sphere

cone and a cylinder have congruent bases and altitudes. What is the ratio of the volume of the cone to the cylinder?

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Oscar fills a cone-shaped container with water. He pours the water into the cylindrical-shaped container. The height and the bases of the containers have the same measurements. Which of the following statements is INCORRECT after he pours the water from the cone to the cylinder?

• The cylindrical-shaped container is one-third filled with water

• The cylindrical shaped container is completely filled with water

• The volume of the cone-shaped container filled with water is one-third of the volume of the cylindrical-shaped container.

• The volume of the cylindrical-shaped container filled with water is three times the volume of the cone-shaped container

Rectangular prism and a pyramid have congruent bases and equal altitudes. What is the ratio between the volume of the pyramid to the volume of the rectangular prism?

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The cylinder below has a base and vertical height congruent to that of the cone. Which best describes the volume of the cone?

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Which of the following describes the relationship of the volume of cylinder and sphere with the same dimensions?

• The volume of sphere is one-half the volume of cylinder.

• The volume of sphere is one-third of the volume of cylinder

• The volume of sphere is two-thirds of the volume of cylinder

• The volume of sphere is the same with the volume of cylinder

Elena has a cylindrical shaped container that is 9 inches high with a diameter of 10 inches. Reggie has a sphere-shaped container that has a radius of 4 inches. About how much more volume does Elena’s container have than Reggie’s?

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