L = 14cm
B = 5 cm
H = 7cm
find the volume & area of cuboid ?
Answers
Answer :
- Volume of the Cuboid is 490 cm³.
- Total surface area of the cuboid is 406 cm ²
Explanation :
Given :
- Length of the Cuboid, l = 14 cm
- Breadth of the Cuboid, b = 5 cm
- Height of the Cuboid, h = 7 cm
To find :
- Volume of the Cuboid, v = ?
- Total surface area of the Cuboid, T.S.A = ?
Knowlwdge required :
Formula for volume of a cuboid :
⠀⠀⠀⠀⠀⠀⠀ V = lbh
Where,
- l = Length of the Cuboid.
- b= Breadth of the Cuboid.
- h = Height of the cuboid.
Formula for total surface area of a cuboid :
⠀⠀⠀⠀⠀⠀⠀ T.S.A = 2(lb + lh + bh)
Where,
- l = Length of the Cuboid.
- b= Breadth of the Cuboid.
- h = Height of the cuboid.
Solution :
Volume of the cuboid :
By using the formula for volume of a Cuboid and substituting the values in it, we get :
⠀⠀⠀⠀=> V = lbh
⠀⠀⠀⠀=> V = 14 × 5 × 7
⠀⠀⠀⠀=> V = 490
⠀⠀⠀⠀⠀⠀⠀⠀⠀∴ V = 490 cm³
Hence the volume of the Cuboid is 490 cm³.
To find the total surface area of the Cuboid :
By using the formula for total surface area of a cuboid and substituting the values in it, we get :
⠀⠀⠀⠀=> T.S.A = 2(lb + lh + bh)
⠀⠀⠀⠀=> T.S.A = 2(14 × 5 + 14 × 7 + 7 × 5)
⠀⠀⠀⠀=> T.S.A = 2(70 + 98 + 35)
⠀⠀⠀⠀=> T.S.A = 2 × 203
⠀⠀⠀⠀=> T.S.A = 406
⠀⠀⠀⠀⠀⠀⠀⠀⠀∴ T.S.A. = 406 cm²
Hence the total surface area of the Cuboid is 406 cm².
Volume Of Cuboid = 490 cm³
Area Of Cuboid = 406 cm²
Step-by-step explanation:
GIVEN
Length = 14 cm
Breadth = 5 cm
Height = 7 cm
___________________________
TO FIND
Volume Of Cuboid and Area Of Cuboid
___________________________
Volume Of Cuboid
We know that,
Volume Of Cuboid = Length × Breadth × Height
Volume Of Cuboid = 14 × 5 × 7
Volume Of Cuboid = 490
Volume Of Cuboid = 490 cm³
___________________________
Area Of Cuboid
We know that,
Area Of Cuboid = ( 2 × length × breadth ) + ( 2 × breadth × height ) + ( 2 × length × height )
Area Of Cuboid = ( 2 × 14 × 5 ) + ( 2 × 5 × 7 ) + ( 2 × 14 × 7 )
Area Of Cuboid = 140 + 70 + 196
Area Of Cuboid = 406