Solved Questions of Surface Area of Cube
1. What is the total surface area of a cube with a side of 4 cm?
a) 16 cm²
b) 24 cm²
c) 48 cm²
d) 96 cm²
Answer: d) 96 cm²
Explanation: The formula for the surface area of a cube is 6a², where a is the length of one side of the cube.
In this case, a = 4 cm, so the surface area is 6 x 4² = 96 cm².
2. Find the diagonal of a cube with a side length of 6 cm?
a) √8 cm
b) 6√3 cm
c) 3√12 cm
d) 4√15 cm
Answer: b) 6√3 cm
Explanation: Given side length of the cube (a) = 6 cm
Diagonal (d) = 3a
Diagonal (d) = √3 x 6 cm = 6√3 cm
3. A cube has a total surface area of 72 cm². What is the length of one side of the cube?
a) 4.444 cm
b) 6.354 cm
c) 8.981 cm
d) 3.464 cm
Answer: d) 3.464 cm
Explanation: Length of one side of a cube = √(A/6) = √(72/6) = √12 = 3.464 cm.
4. Harry wishes to paint the walls of his room. The walls are square in shape. The length of each wall is 96 m. Find the area that he must cover.
a) 36864 m2
b) 38664 m2
c) 36846 m2
d) 36684 m2
Answer: a) 36864 m2
Explanation: we know that the lateral surface area of a cube = 4 a2
a = 96 m
Therefore, 4a2 = 4 x 96 x 96 = 36864 m2.
5. A cube has a surface area of 96 cm². How many edges does the cube have?
a) 6
b) 8
c) 12
d) 24
Answer: c) 12
Explanation: A cube has 12 edges, regardless of its surface area or side length. The surface area only tells you the total area of all the faces of the cube.
Practice Questions of Surface Area of Cube
1. Gilbert participated in a puzzle competition and won a cube as a prize. When he calculated its base area, he came to know it is 64 square units. Calculate the length of the side of the cube.
a) 12 units
b) 10 units
c) 8 units
d) 6 units
Answer: c) 8 units
2. Andrew is a carpenter. He started making a cube-like false wall if the side walls of it is 10 m long. Find out the overall surface area of a cube-like false wall.
a) 600 m2
b) 500 m2
c) 400 m2
d) 300 m2
Answer: a) 600 m2
3. John is playing with a Rubik’s cube whose base area is 16 in2. What is the lateral surface area?
a) 164 in2
b) 121 in2
c) 101 in2
d) 64 in2
Answer: d) 64 in2
4. Find the total surface area of a cube with a length of 4 m.
a) 96 m2
b) 64 m2
c) 32 m2
d) 16 m2
Answer: a) 96 m2
5. A cube has a volume of 125 cm3. What is the total surface area of the cube?
a) 75 cm²
b) 100 cm²
c) 150 cm²
d) 200 cm²
Answer: c) 150 cm²
6. What is the lateral surface area of a cube with a side length is 60 ft?
a) 12300 ft2
b) 13400 ft2
c) 14400 ft2
d) 14800 ft2
Answer: c) 14400 ft2
7. Albert bought an aquarium from the shop which is in the form of a cube having an edge length of 2 feet. What is the cost of painting it, if the cost is $10/ft2?
a) $500
b) $240
c) $120
d) $80
Answer: b) $240
8. What is the total surface area of a cube if its height is 3 cm?
a) 54 cm2
b) 45 cm2
c) 32 cm2
d) 20 cm2
Answer: a) 54 cm2
9. Find the total surface area of a cube with side length 1 cm.
a) 9 cm2
b) 8 cm2
c) 7 cm2
d) 6 cm2
Answer: d) 6 cm2
10. Find the length of the edge of the cube, if its total surface area is 1200 cm2.
a) 14.14 cm
b) 12.14 cm
c) 11.2 cm
d) 10.5 cm
Answer: a) 14.14 cm
