Volume of Prisms, Pyramids, Spheres, Cones and Cylinders

Front

What is the formula for the volume of a pyramid?

Back

V = (1/3)B*h, where B is the area of the base and h is the height.

Front

What is the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

V = (1/3)πr²h = (1/3)π(3)²(5) = 15π cm³ ≈ 47.12 cm³.

Front

Which unit is NOT appropriate for measuring volume?

Back

Square miles is NOT appropriate for volume; it measures area.

Front

Estimate the volume of a rectangular prism with dimensions 4 in x 5 in x 3 in.

Back

Volume = length × width × height = 4 in × 5 in × 3 in = 60 in³.

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

What is the volume of a sphere with a radius of 4 cm?

Back

V = (4/3)πr³ = (4/3)π(4)³ = (4/3)π(64) ≈ 268.08 cm³.

Front

What does V = s³ represent?

Back

The volume of a cube, where s is the length of a side.

Front

How do you find the volume of a triangular prism?

Back

V = B*h, where B is the area of the triangular base and h is the height of the prism.

Front

What is the volume of a cone with a base radius of 2 cm and a height of 6 cm?

Back

V = (1/3)πr²h = (1/3)π(2)²(6) = (1/3)π(4)(6) = 8π cm³ ≈ 25.13 cm³.

Front

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

Back

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