Volume of Prisms, Cylinders & Pyramids Flashcard

Front

What is the formula for the volume of a prism?

Back

The volume of a prism is calculated using the formula: V = B * h, where B is the area of the base and h is the height of the prism.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: V = πr²h, where r is the radius of the base and h is the height.

Front

What is the formula for the volume of a pyramid?

Back

The volume of a pyramid is calculated using the formula: V = (1/3)Bh, where B is the area of the base and h is the height.

Front

How do you find the area of a triangular base?

Back

The area of a triangle is calculated using the formula: A = (1/2)bh, where b is the base length and h is the height.

Front

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

Back

The volume of a prism is directly proportional to the area of its base; increasing the base area increases the volume.

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cm³, m³, in³, or liters.

Front

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

Back

Using the formula V = πr²h, the volume is V = π(3 cm)²(5 cm) = 45π cm³ or approximately 141.37 cm³.

Front

If a pyramid has a square base with a side length of 4 m and a height of 9 m, what is its volume?

Back

Using the formula V = (1/3)Bh, where B = 4 m * 4 m = 16 m², the volume is V = (1/3)(16 m²)(9 m) = 48 m³.

Front

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

Back

Using the formula V = B * h, the volume is V = (20 cm²)(10 cm) = 200 cm³.

Front

How do you convert cubic centimeters to liters?

Back

To convert cubic centimeters to liters, divide the volume in cm³ by 1000. (1 L = 1000 cm³)