Cube and Cuboid Questions and Answers
Practice ModeShowing 10 of 30 questions
Q21
How many vertices does a cuboid have?
Answer: Option B
Explanation: A cuboid has 8 vertices, same as a cube.
Q22
If a cube has a diagonal of 10√3 cm, what is its volume?
Answer: Option C
Explanation: Diagonal of cube = side√3 = 10√3, so side = 10 cm. Volume = 10³ = 1000 cm³
Q23
A cuboid has volume 60 cm³ with length 5cm and width 3cm. What is its height?
Answer: Option C
Explanation: Volume = l × w × h = 60, so 5 × 3 × h = 60, 15h = 60, h = 4 cm
Q24
How many faces does a cuboid have?
Answer: Option B
Explanation: A cuboid has 6 rectangular faces.
Q25
A 4x4x4 painted cube is cut. How many small cubes have no face painted?
Answer: Option B
Explanation: The inner cubes without paint form a 2x2x2 cube = 8 cubes
Q26
What is the surface area of a cube with volume 216 cm³?
Answer: Option B
Explanation: Volume = side³ = 216, so side = 6 cm. Surface area = 6 × 6² = 6 × 36 = 216 cm²
Q27
How many small cubes have exactly two faces painted in a 5x5x5 painted cube?
Answer: Option B
Explanation: Cubes with two painted faces are along edges but not corners. There are 12 edges with 3 cubes each having two painted faces = 12 × 3 = 36
Q28
A cube has all faces painted red. If it's cut into 27 smaller equal cubes, how many cubes have red color on exactly one face?
Answer: Option A
Explanation: In a 3x3x3 cube, cubes with one face painted are in the center of each face. Each face has 1 such cube, and there are 6 faces, so 6 cubes.
Q29
What is the length of the space diagonal of a cube with side 2cm?
Answer: Option C
Explanation: Space diagonal = side√3 = 2√3 cm
Q30
A cuboid has dimensions in ratio 2:3:4. If its volume is 192 cm³, what is its total surface area?
Answer: Option B
Explanation: Let dimensions be 2x, 3x, 4x. Volume = 2x × 3x × 4x = 24x³ = 192, so x³ = 8, x = 2. Dimensions: 4cm, 6cm, 8cm. Surface area = 2(4×6 + 6×8 + 8×4) = 2(24 + 48 + 32) = 2×104 = 208 cm²