Volume Warm UP

Front

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

Back

Volume = length × width × height.

Front

How do you calculate the volume of a cone?

Back

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

What is the volume of a cylinder?

Back

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

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for providing a practical answer, especially in real-world applications.

Front

How do you find the radius from the diameter?

Back

Radius = Diameter / 2.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), and cubic yards (yd³).

Front

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

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cm³.

Front

If the volume of a cylinder is 314 cm³ and the height is 10 cm, what is the radius?

Back

Using the formula V = π × r² × h, rearranging gives r = √(V / (π × h)). Here, r = √(314 / (3.14 × 10)) = 3.14 cm.

Front

What is the volume of a sphere?

Back

Volume = (4/3) × π × r³.

Front

How do you convert from cubic centimeters to cubic meters?

Back

1 m³ = 1,000,000 cm³.