Question

The length breadth and height of a cuboid are in the ratio 5:3:2. If its volume is 35.937 cubic units.find its dimension and find total surface area of cuboid

Answer 1

Answer:Let lenth breadth height be 5x,3x,2x

volume=35.937

5x*3x*2x=35.937

30x^3=35.937

x^3=1.1979

x=1,0944

Step-by-step explanation:

Answer 2

Length =5.3 cm

Breadth=3.18 cm

Height =2.12 cm

Total surface area of cuboid is 69.6632 sq.cm.

Step-by-step explanation:

We are given that The length breadth and height of a cuboid are in the ratio 5:3:2

Let the ratio be x

So, Length = 5x

Breadth = 3x

Height = 2x

Volume of cuboid =$Length \times Breadth \times Height = 5x \times 3x \times 2x = 30^3$

We are given that its volume is 35.937 cubic units

So, $30x^3 = 35.937$

$x=\sqrt[3]{\frac{35.937}{30}}$

x=1.06

Length = 5x =5(1.06)=5.3 cm

Breadth = 3x =3(1.06)=3.18 cm

Height = 2x=2(1.06)=2.12 cm

Total surface area of cuboid = $2(lb+bh+hl)=2(5.3 \times 3.18 + 3.18 \times 2.12 + 2.12 \times 5.3)=69.6632 cm^2$

#Learn more:

The length , breadth , height of a cuboid are 4:3:2 . If its surface area is 2548 centimetre sq find its volume

https://brainly.in/question/8454426