Volume (Prisms, Cylinders, Cones, Pyramids)

What is the volume of a rectangular prism with length 5 cm, width 4 cm, and height 3 cm?

• 48 cm³

• 60 cm³

• 70 cm³

• 50 cm³

What is the volume of a cylinder with a radius of 3 cm and height of 7 cm?

• 63π cm³

• 45π cm³

• 30π cm³

• 50π cm³

What is the formula for the volume of a prism?

• Volume = Base Area × Height

• Volume = Length × Width × Height

• Volume = 2 × Base Area + Height

• Volume = Base Area + Height

How do you calculate the volume of a cylinder?

• Volume = 2π × r × h

• Volume = π × r² × h

• Volume = π × r × h²

• Volume = 4/3 × π × r³

What is the relationship between the volume of a cylinder and a cone with the same base and height?

• The volume of the cone is equal to the volume of the cylinder.

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

• The volume of the cone is twice the volume of the cylinder.

• The volume of the cone is half the volume of the cylinder.

What is the volume of a triangular prism with a base area of 20 cm² and height of 10 cm?

• 150 cm³

• 200 cm³

• 250 cm³

• 300 cm³

What is the volume of a cube with side length 4 cm?

• 32 cm³

• 48 cm³

• 64 cm³

• 80 cm³

How do you find the volume of a sphere?

• Volume = (4/3) × π × r³, where r is the radius.

• Volume = 2 × π × r², where r is the radius.

• Volume = π × r² × h, where h is the height.

• Volume = (1/3) × π × r³, where r is the radius.

What is the formula for the volume of a pyramid?

• Volume = (1/3) × Base Area × Height.

• Volume = Base Area × Height.

• Volume = (1/2) × Base Area × Height.

• Volume = Base Area × Height × 3.

What is the significance of the base area in calculating the volume of prisms and pyramids?

• It determines the amount of space the figure occupies in relation to its height.

• It is used to calculate the surface area of the figure.

• It has no impact on the volume calculation.

• It only affects the shape of the figure, not the volume.