Volume of Prisms and Cylinders

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

Find the volume of a rectangular prism with length 5 cm, width 4 cm, and height 3 cm.

Back

Volume = 5 × 4 × 3 = 60 cm³

Front

Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm.

Back

Volume = π × 3² × 7 ≈ 197.92 cm³

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 its base area and height.

Front

How do you convert cubic centimeters to liters?

Back

1 liter = 1000 cubic centimeters.

Front

What is the formula for the area of a triangle?

Back

A = 1/2 × base × height

Front

If a cylinder has a diameter of 10 cm, what is its radius?

Back

Radius = Diameter / 2 = 10 cm / 2 = 5 cm.

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = 4³ = 64 cm³

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Height = Volume / (π × r²)