Question

The dimensions of pool are in the ratio 1:3:4 if its volume 6144m. Find the total surface area of the pool

Answer 1

x=1,018
3x=3,054
4x=4,072

Answer 2

The surface area of cuboid is 2432 sq.m.

Step-by-step explanation:

The dimensions of pool are in the ratio 1:3:4

Let the ratio be x

Length = x

Breadth = 3x

Height = 4x

Volume of pool = $Length \times Breadth \times Height$

Volume of pool = $x \times 3x \times 4x$

We are given that the volume of pool is 6144 cubic m

So,$x(3x)(4x)=6144$

$12x^3=6144\\x^3=\frac{6144}{12}\\x=\sqrt[3]{\frac{6144}{12}}\\x=8$

Length = 8 m

Breadth = 3(8)=24

Height=4(8)=32

Total surface area of cuboid = $2lb+2bh+2hl=2(8)(24)+2(24)(32)+2(8)(32)=2432 m^2$

Hence the surface area of cuboid is 2432 sq.m.

#Learn more:

If a cube has a surface area of 6144m², then find  the volume of the cube.​

https://brainly.in/question/12178232