Unit 7 Test Review :: Volume & Density

Front

What is Cavalieri's Principle?

Back

Cavalieri's Principle states that if two solids have the same height and the same cross-sectional area at every level, then they have the same volume.

Front

How do you find the volume of a tetrahedron?

Back

The volume of a tetrahedron can be calculated using the formula: V = (1/3) * base area * height.

Front

What is the formula for the volume of a triangular prism?

Back

The volume of a triangular prism is given by the formula: V = (1/2) * base * height * length.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: V = π * r² * h, where r is the radius and h is the height.

Front

How do you calculate the radius of a cylinder given its volume and height?

Back

To find the radius, rearrange the volume formula: r = √(V / (π * h)).

Front

What is the volume of a cylinder with a radius of 5 cm and height of 12 cm?

Back

The volume is V = π * (5 cm)² * (12 cm) = 300π cm³.

Front

What is the volume of a tetrahedron with a base area of 12 cm² and height of 6 cm?

Back

The volume is V = (1/3) * 12 cm² * 6 cm = 24 cm³.

Front

What is the relationship between the height and volume of prisms?

Back

For prisms with the same base area, the volume is directly proportional to the height.

Front

How do you find the volume of a triangular prism with a base of 8 cm, height of 5 cm, and length of 10 cm?

Back

The volume is V = (1/2) * 8 cm * 5 cm * 10 cm = 200 cm³.

Front

What is the volume of a cylinder with a height of 10 cm and a radius of 3 cm?

Back

The volume is V = π * (3 cm)² * (10 cm) = 90π cm³.