MCQs on Lateral Surface Area (LSA) & Total Surface Area (TSA)
1. The lateral surface area of a cube of side 4 cm is:
A) 64 cm²
B) 96 cm²
C) 48 cm²
D) 32 cm²
Answer: A
(LSA = 4a² = 4×16 = 64)
2. The total surface area of a cube of side 5 cm is:
A) 100 cm²
B) 150 cm²
C) 125 cm²
D) 200 cm²
Answer: B
(TSA = 6a² = 6×25 = 150)
3. The lateral surface area of a cuboid 10 cm × 6 cm × 4 cm is:
A) 160 cm²
B) 120 cm²
C) 128 cm²
D) 140 cm²
Answer: C
(LSA = 2h(l+b) = 2×4(10+6) = 8×16 = 128)
4. The total surface area of the above cuboid is:
A) 248 cm²
B) 240 cm²
C) 224 cm²
D) 256 cm²
Answer: A
(TSA = 2(lb + bh + hl)
= 2(60 + 24 + 40) = 2×124 = 248)
5. If the side of a cube is doubled, its TSA becomes:
A) Double
B) Four times
C) Eight times
D) Six times
Answer: B
(Surface area ∝ a² → (2a)² = 4a²)
6. If the side of a cube is tripled, its LSA becomes:
A) 3 times
B) 6 times
C) 9 times
D) 27 times
Answer: C
(LSA ∝ a² → (3a)² = 9a²)
7. The lateral surface area of a cube of side 7 cm is:
A) 196 cm²
B) 294 cm²
C) 343 cm²
D) 168 cm²
Answer: A
(LSA = 4×49 = 196)
8. The total surface area of a cuboid 8 cm × 5 cm × 3 cm is:
A) 158 cm²
B) 142 cm²
C) 126 cm²
D) 148 cm²
Answer: B
(TSA = 2(40 + 15 + 24) = 2×79 = 158)
Correction: 2×79 = 158 → Correct Answer: A
9. The lateral surface area of a cuboid 9 cm × 4 cm × 2 cm is:
A) 44 cm²
B) 52 cm²
C) 48 cm²
D) 56 cm²
Answer: B
(LSA = 2h(l+b) = 2×2(9+4) = 4×13 = 52)
10. The total surface area of a cube is 216 cm². Its side is:
A) 5 cm
B) 6 cm
C) 7 cm
D) 4 cm
Answer: B
(6a² = 216 → a² = 36 → a = 6)
11. If LSA of a cube is 100 cm², its side is:
A) 4 cm
B) 5 cm
C) 6 cm
D) 3 cm
Answer: B
(4a² = 100 → a² = 25 → a = 5)
12. The area of four walls of a room is called:
A) Total Surface Area
B) Volume
C) Lateral Surface Area
D) Base Area
Answer: C
13. Which of the following includes top and bottom also?
A) LSA
B) TSA
C) Perimeter
D) Height
Answer: B
14. The difference between TSA and LSA of a cube of side 3 cm is:
A) 18 cm²
B) 36 cm²
C) 9 cm²
D) 27 cm²
Answer: A
(TSA = 6×9 = 54, LSA = 4×9 = 36 → Difference = 18)
15. A room is 12 m long, 10 m wide and 5 m high. The area of four walls is:
A) 200 m²
B) 220 m²
C) 240 m²
D) 180 m²
Answer: B
(LSA = 2h(l+b) = 2×5(12+10) = 10×22 = 220)