Volume of Prisms and Cylinders Challenge

What is the volume of a solid defined as?

• The weight of the solid

• The number of cubic units inside the solid

• The surface area of the solid

• The length of the solid multiplied by its width

How do you calculate the volume of a cube?

• Length x Width

• Base area x Height

• Side length cubed

• Length x Width x Height

What does the volume addition postulate state?

• Volume is additive across non-overlapping parts

• Volume is always conserved

• Volume is dependent on material density

• Volume decreases over time

If a cube's volume is 64 cubic units, what is the length of one side?

• 32 units

• 16 units

• 8 units

• 4 units

What is the formula for the volume of a cylinder?

• πd^2 x Height

• πr^2 + Height

• 2πr x Height

• πr^2 x Height

What does Big B represent in volume calculations?

• The height of the prism

• The perimeter of the base

• The volume of the base

• The area of the base

What is the volume of a cylinder with a radius of 3 units and height of 4 units?

• 12π cubic units

• 48π cubic units

• 36π cubic units

• 24π cubic units

How is the volume of a trapezoidal prism calculated?

• Area of the base x Height

• Length of bases x Height

• Sum of base areas x Height

• Area of the base + Height

What principle is used to find the volume of oblique prisms?

• Archimedes' Principle

• Cavalieri's Principle

• Pythagorean Theorem

• Euler's Formula

What must be true for two solids to have the same volume according to Cavalieri's Principle?

• They must be made of the same material

• They must have the same weight

• They must have the same cross-sectional area at every level

• They must have the same height