Exploring 3D Shapes and Their Properties

What is the formula for the volume of a cube?

• V = 6s, where V is the volume and s is the length of a side.

• V = s^2, where V is the volume and s is the length of a side.

• V = s^3, where V is the volume and s is the length of a side.

• V = 2s^3, where V is the volume and s is the length of a side.

How do you calculate the surface area of a cylinder?

• Surface Area = 2πr(h + r)

• Surface Area = 4πr²

• Surface Area = 2πrh

• Surface Area = πr²h

What is the difference between a prism and a pyramid?

• A prism has two parallel bases; a pyramid has one base and triangular faces.

• A prism can have any number of faces; a pyramid always has four faces.

• A prism is a three-dimensional shape with curved surfaces; a pyramid has flat surfaces.

• A prism has one base and rectangular faces; a pyramid has two parallel bases.

What is the formula for the volume of a sphere?

• V = 2πr³

• V = (1/3)πr²h

• V = (4/3)πr³

• V = πr²h

How do you find the lateral surface area of a cone?

• A = πr^2h

• A = 1/3πr^2h

• A = 2πr^2

• A = πrl

What are the properties of a rectangular prism?

• A rectangular prism has four vertices and curved edges.

• A rectangular prism has eight triangular faces.

• A rectangular prism has six rectangular faces, twelve edges, eight vertices, and right angles.

• A rectangular prism has six square faces and ten edges.

How do you calculate the volume of a triangular prism?

• Volume = base × height of triangle × depth of prism

• Volume = (1/2) × base × height of triangle × height of prism

• Volume = base × height of prism

• Volume = (1/2) × base × height of prism × width

What is the relationship between the radius and diameter of a sphere?

• The diameter is twice the radius.

• The radius is twice the diameter.

• The radius and diameter are equal.

• The diameter is half the radius.

What is the formula for the surface area of a sphere?

• πr²

• 2πr²

• 4πr²

• 6πr²

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

• h = V / (πr²)

• h = V * (πr)

• h = V / (2πr)

• h = πr² / V