Question

The Length breadth and height of a cuboid are in the ratio 4:3:5. If the total surface area of the cuboid is like 9400 cm^2, find the height of the cuboid.

Answer 1

Answer:

ratio of cuboid dimensions

let the dimsioms be 4x cm × 3x cm × 5x cm

total surface area = 2lb + 2bh + 2lh

= 2 ( 12x² + 15x² + 20x² ) = 9400

47x² = 4700

x²=100

x=10

height = 5x cm = 5×10 = 50cm

Answer 2

Answer:

50 cm

Step-by-step explanation:

here l:b:h = 4:3:5

let length = 4x

breadth = 3x

height = 5x

.TSA OF CUBOID = 2{ l*b + b*h + h*l }

here TSA = 2 ( 4x*3x + 3x*5x + 5x*4x ) = 9400

=2 ( 12x² + 15x² + 20x²) = 9400

2 ( 47x²) = 9400

94x² = 9400

x²= 100

x = 10

Now l= 40 cm

b = 30 cm

h = 50 cm

math tution 9649282969