the length , breadth and height of a box are in the ratio 5:4:3 and the length of its diagonal is 10√2 . find the Total surface area .
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Answered by
17
Hello Chocolate ❤️❄️
The length, breadth and height of a box are in the ratio 5 :4:3
let us consider, length = 5x, breadth = 4x, height = 3x and Diagonal(d) = 10√2.
d² = (5x)² + (4x)² + (3x)²
(10√2)² = 25x² + 16x² + 9x²
100×2 = 50x²
200/50 = x²
4 = x²
x = 2
length = 5x = 5(2) = 10
breadth = 4x = 4(2) = 8
height = 3x = 3(2) = 6
Surface area of box = 2[lb+bh+hl]
= 2[10×8+8×6+6×10]
= 2[80+48+60]
= 2[188]
= 376 sq. unit
Hope it's helpful to you ❤️⭐✌️
Answered by
7
Answer:
- Consider a given The given The length, breadth and height of a cuboid are in the ratio 5:4:2 and the total surface area is 1216cm
- Let, the dimension of cuboid are l=5x,b=4x and h=2x
- Now, the surface area of cuboid =2(5x×4x+4x×2x+2x×5x)=76x 2
- Now
- 76x 2=1216
- x 2 =16
- x=4
- Dimensions of cuboid are,
- l=5x=5×4=20cm,b=4x=4×4=16cm
- h=2x=2×4=8cm
- Volume of cuboid=l×b×h=20×16×8=2560cm3
- Hence, this is the answer
Explanation:
I hope its helpful to u dear
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