Question 1: What is the surface area of a cube with a side length of 5 cm?

Answer: 150 cm^2

Question 2: Calculate the volume of a cube with a side length of 3 meters.

Answer: 27 m^3

Question 3: A cube has a surface area of 96 square inches. Find the length of one side.

Answer: 4 inches

Question 4: Construct a cube with a volume of 125 cubic centimeters. Draw and label it.

Answer: Side length = 5 cm

Question 5: Explain why all faces of a cube are squares and have equal areas.

Answer: Because a cube is a regular polyhedron with all faces being identical squares, each face has equal sides and area.

Question 6: A box in the shape of a cube has a surface area of 384 square centimeters. What is the length of each edge?

Answer: 8 cm

Question 7: If you double the side length of a cube, how does the surface area change?

Answer: It becomes four times larger

Question 8: A cube with a side length of 10 cm is painted on all sides. How much paint is needed to cover it?

Answer: 600 cm^2

Question 9: A cube’s surface area is 216 square inches. Find its volume.

Answer: 27 in^3

Question 10: A cube-shaped gift box measures 20 cm on each side. If the box is cut into smaller cubes of 5 cm each side, how many smaller cubes will be formed?

Answer: 64

Question 11: Common mistake: A student calculates the surface area of a cube with side 6 cm as 36 cm^2. Identify the mistake and correct it.

Answer: They calculated using area of one face as 6×6=36, but forgot to multiply by 6 faces: 6×36=216 cm^2.