Find the lateral surface area and the total surface area of a cuboid whose length breadth and height respectively 26m,14m,and 6.5m
Answers
Answer:
(i) length = 12 cm, breadth = 8 cm and height = 4.5 cm
Volume of cuboid = (length × breadth × height) = (12 × 8 × 4.5) = 432 cm3
Lateral surface area of cuboid = 2(length + breadth) × height = 2(12 + 8) × 4.5 = 180 cm2
Total surface area of cuboid = 2(length × breadth + breadth × height + height × length)
= 2(12 × 8 + 8 × 4.5 + 4.5 × 12) = 2(96 + 36 + 54) = 2 × 186 = 372 cm2
(ii) length = 26 m, breadth = 14 m and height = 6.5 m
Volume of cuboid = (length × breadth × height) = (26 × 14 × 6.5) = 2366 m3
Lateral surface area of cuboid = 2(length + breadth) × height = 2(26 + 14) × 6.5 = 520 m2
Total surface area of cuboid = 2(length × breadth + breadth × height + height × length)
= 2(26 × 14 + 14 × 6.5 + 6.5 × 26) = 2 × 624 = 1248 m2
(iii) length = 15 m, breadth = 6 m and height = 5 dm = (0.5m)
Volume of cuboid = (length × breadth × height) = (15 × 6 × 0.5) = 45 m3
Lateral surface area of cuboid = 2(length + breadth) × height = 2(15 + 6) × 0.5 = 21 m2
Total surface area of cuboid = 2(length × breadth + breadth × height + height × length)
= 2(15 × 6 + 6 × 0.5 + 0.5 × 15) = 2(90 + 3.0 + 7.5) = 2 × 100.5 = 201 m2
(iv) length = 24 m, breadth = 25 cm and height = 6 m
Volume of cuboid = (length × breadth × height) = (24 × 0.25 × 6) = 36 m3
Lateral surface area of cuboid = 2(length + breadth) × height = 2(24 + 0.25) × 6 = 291 m2
Total surface area of cuboid = 2(length × breadth + breadth × height + height × length)
= 2(24 × 0.25 + 0.25 × 6 + 6 × 24) = 303 m2