The Aread three Consecutive faces of a cuboid are 9cm
25 Cm and 36cm then volume
of the
Cuboid is
Answers
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
_______________________________
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
_______________________________
Step-by-step explanation:
Hope this answer will help you.✌️