Find the volume of cuboid whose L=12m , B=2m , H=5m

1.	Find the volume of cuboid whose L=12m , B=2m , H=5m
Answer» Step-by-step explanation: GiveN: Area of adjacent FACES are 50cm², 30cm² and 20cm². To FinD: Volume of the rectangular box? Step-by-Step Explanation: Let the length, breadth and the height of the cuboid be l, b and H. Area of adjacent faces in terms of l,b and h Area of faces with sides l and b = lb Area of faces with sides b and h = bh Area of faces with sides l and h = lh Now multiplying lb, bh, and lh = lb × bh × HL = l²b²h² = (lbh)² We know lbh = V (Volume of the cuboid). Then, ⇒ (lbh)² = V² ⇒ lb × bh × hl = V² Now plugging the given values of lb, bh and hl in the above equation, ⇒ V² = 50 cm² × 30 cm² × 20 cm² ⇒ V² = 30000 cm⁶ ⇒ V = √30000 cm⁶ ⇒ V = 173.21 cm³ Hence, The required volume of the cuboid will be 173.21 cm³ (Ans)

Answer»

Step-by-step explanation:

GiveN:

Area of adjacent FACES are 50cm², 30cm² and 20cm².

To FinD:

Volume of the rectangular box?

Step-by-Step Explanation:

Let the length, breadth and the height of the cuboid be l, b and H.

Area of adjacent faces in terms of l,b and h

Area of faces with sides l and b = lb

Area of faces with sides b and h = bh

Area of faces with sides l and h = lh

Now multiplying lb, bh, and lh

= lb × bh × HL

= l²b²h²

= (lbh)²

We know lbh = V (Volume of the cuboid). Then,

⇒ (lbh)² = V²

⇒ lb × bh × hl = V²

Now plugging the given values of lb, bh and hl in the above equation,

⇒ V² = 50 cm² × 30 cm² × 20 cm²

⇒ V² = 30000 cm⁶

⇒ V = √30000 cm⁶

⇒ V = 173.21 cm³

Hence,

The required volume of the cuboid will be 173.21 cm³ (Ans)

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