The Aread three Consecutive faces of a cuboid are 9cm25 Cm and 36cm th

1.	The Aread three Consecutive faces of a cuboid are 9cm25 Cm and 36cm then volumeof theCuboid is
Answer» Given: ✰ The area of three consecutive FACES of a cuboid are 9 cm², 25 cm² and 36 cm² respectively. To find: ✠ The volume of the cuboid. Solution: FIRST we will assume that the dimensions of the cuboid length, breadth and height are L, b and h respectively. Then we are provided with the area of of a cuboid which means that these dimensions are multiplied simultaneously to find out the area of each face. Using this, we will find out that equations and using that equations will find out the volume of a cuboid. Let's find out...✧ Let the dimensions of the cuboid be l, b and h respectively. As we are provided with, ➛ l × b = 9 cm² ...① ➛ b × h = 25 cm² ...② ➛ l × h = 36 cm² ...③ ✭ Volume of cuboid = l × b × h ✭ V = lbh Multiply the EQ ①,② and ③, we get: ➛ lb × bh × lh = ( lbh )² ➛ 9 × 25 × 36 = ( lbh )² ➛ 8100 = ( lbh )² ➛ lbh = √8100 ➛ lbh = 90 ➛ V = 90 cm³ ∴ The volume of the cuboid = 90 cm³ _______________________________

The Aread three Consecutive faces of a cuboid are 9cm25 Cm and 36cm then volumeof theCuboid is

Answer»

Given:

✰ The area of three consecutive FACES of a cuboid are 9 cm², 25 cm² and 36 cm² respectively.

To find:

✠ The volume of the cuboid.

Solution:

FIRST we will assume that the dimensions of the cuboid length, breadth and height are L, b and h respectively. Then we are provided with the area of of a cuboid which means that these dimensions are multiplied simultaneously to find out the area of each face. Using this, we will find out that equations and using that equations will find out the volume of a cuboid.

Let's find out...✧

Let the dimensions of the cuboid be l, b and h respectively.

As we are provided with,

➛ l × b = 9 cm² ...①

➛ b × h = 25 cm² ...②

➛ l × h = 36 cm² ...③

✭ Volume of cuboid = l × b × h ✭

V = lbh

Multiply the EQ ①,② and ③, we get:

➛ lb × bh × lh = ( lbh )²

➛ 9 × 25 × 36 = ( lbh )²

➛ 8100 = ( lbh )²

➛ lbh = √8100

➛ lbh = 90

➛ V = 90 cm³

∴ The volume of the cuboid = 90 cm³

_______________________________