The ratio of length. breadth and height of cuboid is 6: 5 : 4. Find the length of the
cuboid if total surface area is I 332 sq.cm
Answers
Answer:
length : breadth : height
6 : 5 : 4
lenght = 6x
breadth = 5x
height = 4x
total surface area of cuboid = 2(lb×bh×hl)
1332 cm²= 2(6x×5x+ 5x×4x+4x×6x)
1332 = 2(30x+20x+24x)
1332 = 2(74x)
1332 = 148x
x = 1332/148
x = 666/74
x = 333/37
x = 9 cm
length = 6x
= 6×9
= 54 cm
breadth = 5x
= 5×9
= 45 cm
height = 4x
= 4×9
= 36 cm. answer
thank you
Required Answer:-
Given Information:
- The ratio of length, breadth and height of a cuboid is 6 : 5 : 4.
- Total surface area is 1332cm²
To find:
- Length of the cuboid.
Answer:
- The length of the cuboid is 18cm.
Solution:
Given that,
Ratio of length, breadth and height of a cuboid is 6 : 5 : 4.
Let,
Length of the cuboid = 6x.
Breadth of the cuboid = 5x.
Height of the cuboid = 4x
Total Surface area is calculated by using the formula,
➡ T.S.A of Cuboid = 2(lb + bh + lh)
Given that,
Total surface area = 1332cm²
So, according to the given condition,
➡ 2(lb + bh + lh) = 1332
➡ 2{ (6x × 5x) + (5x × 4x) + (4x × 6x) } = 1332
➡ 2(30x² + 20x² + 24x²) = 1332
➡ 74x² = 1332/2
➡ 74x² = 666
➡ x² = 666/74
➡ x² = 9
➡ x = √9
➡ x = 3
Hence, Length of the cuboid = 6x = 6 × 3 = 18cm which is our required answer.