Question

Answer this question: Que: 11.

Answer 1

Hi there !!
Here's your answer

Let the common factor be x
Length (l) = 7x
Breadth(b) = 6x
Height (h)= 5x

Total Surface area = 1926cm²

Total surface area of cuboid = 2(lb + bh + lh)

1926 = 2( (7x × 6x) + (6x × 5x) + (7x × 5x) )

1926 = 2(42x² + 30x² + 35x²)

1926 = 2( 107x²)

1926/2 = 107x²

963 = 107x²

x² = 963/107

x² = 9

x = ✓9 = 3

So,
length = 7x = 7×3cm = 21cm
Breadth = 6x = 6×3 = 18cm
Height = 5x = 5×3cn = 15cm

Volume= length × breadth × height

= 21cm × 18cm × 15cm

= 5670cm³

Thus,
the volume is 5670cm³