Front

What is the formula for the volume of a prism?

Back

The volume of a prism is given by the formula: Volume = Base Area × Height.

Front

What is the formula for the volume of a pyramid?

Back

The volume of a pyramid is given by the formula: Volume = (1/3) × Base Area × Height.

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is given by the formula: Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

How do the volumes of a prism and a pyramid with the same base compare?

Back

The volume of the pyramid is ⅓ the volume of the prism with the same size base.

Front

What is the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: Volume = π × r² × h, where r is the radius and h is the height.

Front

If a cone has a volume of 16π cubic units and a height of 3 units, how do you find the radius?

Back

Use the formula for the volume of a cone: V = (1/3) × π × r² × h. Rearranging gives r = sqrt((3V)/(πh)).

Front

What is the relationship between the height of water in a prism and a cylinder with the same base area?

Back

If the base areas are the same, the height of the water will remain the same when transferred between the two containers.

Front

What is the volume of a solid with a known volume of 45 cubic units?

Back

The volume is simply 45 cubic units.

Front

What is the significance of π in volume calculations?

Back

π is a constant used in formulas for volumes of circular shapes, such as cones and cylinders.

Front

How do you calculate the volume of composite solids?

Back

To find the volume of composite solids, calculate the volume of each individual solid and then sum them up.