Question

the Length breadth and height of a cuboid are in ratio 7 ratio 6 ratio 5 if the surface area of cuboid is 1926 CM square find the volume of the cuboid

Answer 1

Answer:

Step-by-step explanation:

let the L,B,H of cuboid be 7x,6x,5x

Surface Area of cuboid= 1926cm

we know,

surface area of cuboid = 2(lb+bh+hl)

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

1926= 2( 42x + 30x + 35x )

1926= 2(107x)

1926 = 214x

1926/214 = x

9 = x

since, L = 7x = 7 X 9 = 63cm

B = 6x = 6 X 9 = 54cm

H = 5x = 5 X 9 = 45cm

now,

volume of cuboid = L X B X H

                             = 63 X 54 X 45

                             = 153090 cubic cm

therefore, volume of cuboid is 153090 cubic cm