Volumes of Cylinders and Prisms

Front

What is the formula for the volume of a prism?

Back

V = (Base Area) × (Height)

Front

How do you find the volume of a triangular prism?

Back

Calculate the area of the triangular base and multiply by the height.

Front

What is the volume of a cylinder?

Back

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

Front

What is the relationship between the base area and the volume of a prism?

Back

The volume is directly proportional to the base area and height.

Front

If the base area of a prism is 80 cm² and the height is 12 cm, what is the volume?

Back

960 cm³ (V = 80 cm² × 12 cm)

Front

What is the significance of rounding in volume calculations?

Back

Rounding provides a simpler, more manageable number, especially in practical applications.

Front

How do you compare the volumes of two cylinders?

Back

Calculate the volume of each cylinder using V = πr²h and compare the results.

Front

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

Back

V = π(3 cm)²(5 cm) = 45π cm³ ≈ 141.4 cm³.

Front

What is the effect of increasing the height of a prism on its volume?

Back

Increasing the height increases the volume, assuming the base area remains constant.

Front

What is the volume of a solid with a base area of 50 cm² and a height of 20 cm?

Back

V = 50 cm² × 20 cm = 1000 cm³.