Question

A cuboid has a volume of 24 cm3. What can its maximum surface area be, if its length, breadth, and height are integers?

Answer 1

Answer:

76 cm^2

Step-by-step explanation:

Volume of the cuboid = Length(l)×breadth(b)×Height (h)

Given that

A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.

prime factor of 24 = 2^3\times3\times1

24 = 2×3×2×2×1

24= 12×2×1

or 24= 6×4×1

Now, for Surface area to be maximum we have to take dimensions as

12,2,1

SA = 2(lb+lh+bh)

=2(12×2+12×1+2×1)

= 76 cm^2

Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit

Answer 2

Answer:

Answer is 76 cm^2

Step-by-step explanation:

Hope it helps you pls mark me as the Brainliest