Question

Find the surface area of a cuboid having length 15 cm, breadth 5 cm and height 6
cm. What would be the length of the diagonal of the cuboid?
15
.
Please answer with proper steps because tomorrow is my exam....​

Answer 1

Given

• Length of cuboid = 15 cm
• Breadth of cuboid = 5 cm
• Height of cuboid = 6 cm

To find

• Total surface area of cuboid

Solution

• T.S.A of cuboid = 2(lb + bh + hl)
• T.S.A = 2((15)(5) + (5)(6) + (6)(15))
• T.S.A = 2((75) + (30) + (90)
• T.S.A = 2(195)
• T.S.A = 390

Hence, the surface area of T.S.A of cuboid is 390 cm²

• Length of diagonal = √l² + b² + h²
• Diagonal = √15² + 5² + 6²
• Diagonal = √225 + 25 + 36
• Diagonal = √286
• Diagonal = 16.91

Hence, the length of diagonal of cuboid is 16.91 cm