Question

the edges of a cuboid are in the ratio 1:2:3 and its surface area is 88 CM square the volume of the cuboid is​

Answer 1

Answer:

48cm3

Step-by-step explanation:

Ratio of edges of cuboid = 1 : 2 : 3

Let, l = x, b = 2x, h = 3x

Surface area = 88cm2

2(lb+bh+hl)=88

2(2x2+6x2+3x2)=88

11x2=44

x2=4

x=2

∴l=2cm, b=4cm, h=6cm

∴ Volume=lbh

=2×4×6

=48cm3

Answer 2

Answer:

volume of the cuboid is 48cm^3

Step-by-step explanation:

let l=1x

b=2x

h=3x

TSA of a cuboid =88

2(lb+bh+hl)=88

2(2x^2+6x^2+3X^2)=88

2(11x^2)=88

22x^2=88

x^2=4

x=√4

x=2cm

l=2cm

b=2×2=4cm

h=2×3=6cm

Now we know the dimensions of a cuboid.

so volume of a cuboid =l×b×h

=2×4×6cm^3

=48cm^3

therefore volume=48cm^3

hope it helps!!!