Question

the total surface area of the cuboid is 13950 cm cube and its Length breadth and width are given in the ratio 2, 3 and 5​

Answer 1

Step-by-step explanation:

TSA of cuboid is 13960cm²

TSA of cuboid =2h(l+b)

l:b:h=2:3:5

i,e l/b/h=2/3/5

. ' . l×h/b= 2×5/3

.'. l×h/b =10/3

tsa of cuboid = 2hl + 2hb

= 2×10/3 + 2hb

=20/3 + 2 ×40/5

=20/3+80/5

=20/3+16

=13960cm²

Answer 2

Answer:

length(l) = 30cm

breadth(b) = 45cm

width/height(h) = 75cm

Step-by-step explanation:

Total surface area of cuboid = 2(bh + lh + bl) [∵ l = length, b = breadth, h = height]

$TSA_{cuboid}$ = 13950cm²

l:b:h = 2:3:5

Let the common factore be 'x'

∴ l = 2x

b = 3x

h = 5x

Hence, 13950 = 2(15x² + 10x² + 6x²)

=62x²

∴ x² = 225

∴ x = 15

Hence length(l) = 30cm, breadth(b) = 45cm and width/height(h) = 75cm

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