Volume Review

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 formula for the volume of a triangular prism?

Back

V = (1/2 * base * height of triangle) * length of prism.

Front

What is the volume of a cube with side length 3 cm?

Back

V = 3 cm * 3 cm * 3 cm = 27 cm³.

Front

What is the volume of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm?

Back

V = 4 cm * 5 cm * 6 cm = 120 cm³.

Front

What is the volume of a sphere with radius 2 cm?

Back

V = (4/3)πr³ = (4/3)π(2 cm)³ = 33.51 cm³.

Front

What is the volume of a cone with radius 3 cm and height 4 cm?

Back

V = (1/3)πr²h = (1/3)π(3 cm)²(4 cm) = 37.69 cm³.

Front

How does increasing the height of a cylinder affect its volume?

Back

Increasing the height increases the volume proportionally, as V = πr²h.

Front

What is the relationship between the volume of a cylinder and its radius?

Back

The volume increases with the square of the radius, as V = πr²h.

Front

What is the volume of a triangular prism with a base area of 10 cm² and height of 5 cm?

Back

V = base area * height = 10 cm² * 5 cm = 50 cm³.

Front

What is the volume of a cylinder with a radius of 2 in and height of 7 in?

Back

V = π(2 in)²(7 in) = 28 in³.