Question

The area of base of a rectangular box is 70 cm square and the area of two adjacent faces of 50 cm square and 35 cm square find the volume of the body

Answer 1

Solutions :-

Given :
The area of base of a rectangular box = 70 cm².
The area of two adjacent faces of 50 cm² and 35 cm²

We know that,
Area of base = l × b = 70 cm²
Area of one adjacent side = l × h = 50 cm²
Area of other adjacent side = b × h = 35 cm²

Find the volume of the body :-

Volume of cuboid = lbh cu. unit
So, √(l × b × l × h × b × h) cu. unit
= √(70 × 50 × 35) cm³
= √ 122500 cm³
= 350 cm³

Hence,
Volume of the body = 350 cm³

Answer 2

Hey dear here is your answer!!!!!

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Here, we are required to find the volume of the cuboid, i.e. lbh

We have been given:-

Surface area of three adjacent faces of the cuboid is:-

1. 70 cm²

2. 50 cm²

3. 35 cm²

We can re-write those faces as:-

l x b = 70 cm²

b x h = 50 cm²

h x l = 35 cm²

If we take the product of three of them we get:-

( l x b x b x h x h x l )  =70 x 50 x 35

l²b²h² = 122500

(lbh)² = 122500

lbh = $\sqrt{122500}$

lbh = 350 cm³

So, the volume of the cuboid is 350 cm³ !

$\large\boxed{\large\boxed{\large\boxed{Solved !}}}}$

❣️⭐ Hope it helps you dear...⭐⭐❣️❣️