Solved Questions on Surface Area of a Cuboid
1. A cuboid has a length of 5 cm, width of 3 cm and a height of 4 cm. What is the total surface area of a cuboid?
a) 94 cm2
b) 169 cm2
c) 196 cm2
d) 223 cm2
Answer: a) 94 cm2
Explanation: Total Surface area of cuboid = 2(lw + wh + lh)
Total Surface area of cuboid = 2(5 x 3 + 3 x 4 + 5 x 4)
= 2(15 + 12 + 20)
= 2 x 47 = 94 cm2
2. Determine the lateral surface area of a cuboid if its length, breadth, and height are 15 cm, 8 cm, and 12 cm, respectively.
a) 240 cm²
b) 344 cm²
c) 416 cm²
d) 552 cm²
Answer: d) 552 cm²
Explanation: Lateral surface area of a cuboid = 2h(l + b)
= 2 × 12(15 + 8)
= 24 × 23 = 552 cm²
Hence, the lateral surface area of the given cuboid is 552 cm².
3. A cuboid has a lateral surface area of 1750 cm². If the length is 20 cm and the width is 15 cm, what is the height of the cuboid?
a) 20 cm
b) 15 cm
c) 10 cm
d) 25 cm
Answer: d) 25 cm
Explanation: Lateral surface area of a cuboid = 2h(l + b)
1750 = 2h(20 + 15)
1750 = 2h(35)
h = 25 cm
4. A cuboid has dimensions of length 10 cm, width 8 cm, and height 6 cm. What is its lateral surface area and total surface area?
a) 168 cm2, 176 cm2
b) 208 cm2, 276 cm2
c) 210 cm2, 306 cm2
d) 216 cm2, 376 cm2
Answer: d) 216 cm2, 376 cm2
Explanation: Lateral surface area of a cuboid = 2h(l + b)
= 2 x 6(10 + 8)
= 216 cm2
Total surface area of cuboid = 2 (length x width + width x height + length x height)
= 2(10 x 8 + 8 x 6 + 10 x 6)
= 376 cm2
5. The length, breadth and height of a cuboid are 8 cm, 6 cm and 4 cm respectively. Find its (i) Total surface area, (ii) Lateral surface area.
a) i. 208 cm2 , ii. 112 cm2
b) i. 115 cm2 , ii. 102 cm2
c) i. 106 cm2 , ii. 100 cm2
d) i. 104 cm2 , ii. 98 cm2
Answer: a) i. 208 cm2, ii. 112 cm2
Explanation: i. Surface area = 2(lb + bh + hl)
= 2(8 × 6 + 6 × 4 + 4 × 8) cm2
= 2(48 + 24 + 32) cm2
= 208 cm2
ii. Lateral surface area = 2(l + b)h
= 2(8 + 6) × 4 cm2
= 2(14) × 4 cm2
= 28 × 4 cm2
= 112 cm2
Practice Questions on Surface Area of Cuboid
1. The dimensions of a cuboid are given as follows: Length = 10 cm, Width = 5 cm, Height = 9 cm.
Find the lateral surface area of the cuboid.
a) 459 cm2
b) 270 cm2
c) 159 cm2
d) 96 cm2
Answer: b) 270 cm2
2. Find the total surface area of a cuboid with dimensions 8 cm by 6 cm by 5 cm.
a) 493 cm2
b) 354 cm2
c) 295 cm2
d) 236 cm2
Answer: d) 236 cm2
3. The length, width and height of a cuboid are 10 cm, 8 cm and 7 cm respectively. Find the lateral surface area of a cuboid.
a) 252 cm2
b) 292 cm2
c) 302 cm2
d) 392 cm2
Answer: a) 252 cm2
4. If the total surface area of a cuboid whose length is equal to 12 cm and breadth is equal to 9 cm is equal to 468 cm2 then find the height of the cuboid.
a) 5 cm
b) 6 cm
c) 7 cm
d) 9 cm
Answer: b) 6 cm
5. Find the total surface area and lateral surface area of a cardboard box whose dimensions are length = 3 m, breadth = 2 m and height = 1 m.
a) 22 m2, 10 m2
b) 12 m2, 10 m2
c) 22 m2, 20 m2
d) 32 m2, 10 m2
Answer: a) 22 m2, 10 m2
6. Rex has made a cuboid out of paper, If the length is 10 cm, width is 12 cm and height is 15 cm. What is the lateral surface area of the cuboid?
a) 270 cm2
b) 389 cm2
c) 489 cm2
d) 660 cm2
Answer: d) 660 cm2
7. The total surface area of a cuboid is 126 ft2. If the cuboid’s length and height are 6 ft and 3 ft, find the width of the cuboid.
a) 5 ft
b) 6 ft
c) 7 ft
d) 8 ft
Answer: a) 5 ft
8. A cuboid has a length of 6 cm, a width of 4 cm, and a height of 3 cm. Find the total surface area.
a) 118 cm2
b) 108 cm2
c) 96 cm2
d) 75 cm2
Answer: b) 108 cm2
9. The total surface area of a cuboid is 664 m2. If the cuboid's width and height are 8 meters and 10 meters, what is the length of the cuboid?
a) 7 m
b) 9 m
c) 11 m
d) 14 m
Answer: d) 14 m
10. The length, breadth, and height of a cuboid are 16 cm, 14 cm and 10 cm respectively. Find the total surface area of the cuboid.
a) 1048 cm2
b) 1248 cm2
c) 1438 cm2
d) 1482 cm2
Answer: a) 1048 cm2
