Question

The total surface area of the cuboid is 24930 cm^2

and its length,

breadth and height are given in the ratio 4 : 3 : 2.
Find the length, breadth and height of the cuboid.

Answer 1

Answer:

.

Step-by-step explanation:

given :

The total surface area of the cuboid is 24930 cm^2

and its length,

breadth and height are given in the ratio 4 : 3 : 2.

Find the length, breadth and height of the cuboid.

to find :

Find the length, breadth and height of the cuboid.

solution :

• Surface area of cuboid = 2(LB + LH + BH)

• Let the length,breadth and height

• respectively be 4x 3 x and 2x

• 24930 = 2 ( 4x × 3x + 3x × 2x + 2x × 4x)

• 24930 = 2( 12 x square + 3x square + 4 square
• 1792 = 2(14x square) 1792 =28x square

• 1792/28 = x square 64 = x square √64 = x

• x = 8

• Length = 4x8=32cm

• Breadth=2× 8=16cm Height = 1 x 8= 8cm