Exploring 3D Shapes and Their Properties

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

• 32 cm³

• 64 cm³

• 80 cm³

• 48 cm³

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

• 75 cm³

• 50 cm³

• 100 cm³

• Approximately 141.3 cm³

Compare a sphere and a cube. Which has a larger surface area if both have the same volume?

• The sphere has a larger surface area than the cube if both have the same volume.

• Both the sphere and the cube have the same surface area if they have the same volume.

• The cube has a larger surface area than the sphere if both have the same volume.

• The surface area of the sphere is always larger than that of the cube.

A rectangular prism has dimensions of 2 m, 3 m, and 4 m. What is its volume?

• 12 cubic meters

• 20 cubic meters

• 30 cubic meters

• 24 cubic meters

How many edges does a triangular prism have?

• 6

• 8

• 9

• 12

If the radius of a cone is doubled, how does its volume change?

• The volume increases by a factor of 4.

• The volume increases by a factor of 3.

• The volume decreases by a factor of 2.

• The volume remains the same.

What is the surface area of a cylinder with a radius of 2 cm and a height of 10 cm?

• 200 cm²

• 75.36 cm²

• 150.72 cm²

• 100 cm²

A sphere has a radius of 6 cm. What is its volume?

• 216π cm³

• 72π cm³

• 288π cm³

• 144π cm³

If a cube has a volume of 27 cm³, what is the length of one side?

• 5 cm

• 2 cm

• 3 cm

• 4 cm

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

• V = length × width × height

• V = width × height

• V = length + width + height

• V = length × height