The whole surface area of a rectangular block is 8788cm2 if the length ,breadth, he ight are in the ratio 4:3:2 find the difference between its length and height
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80
given length : breadth : height = 4 : 3 : 2
let length breadth and height of cuboidal block be 4y,3y,2y
TSA of cuboidal block = 8788 cm²
TSA of cuboidal block = 2(lb + bh + hl)
2(lb + bh + hl) = 8788
2(4y×3y + 3y×2y + 2y×4y)= 8788
12y²+6y²+8y²=8788/2
26y²=4394
y²=4394/26
y²= 169
y²= 13²
y=13
length of cuboidal block= 4y=4×13=52
breath of cuboidal block= 3y=3×13=39
height of cuboidal block= 2y=2×13=26
difference between length and height of cuboidal block = length of cuboidal block - height of the cuboidal block= 52-26= 26
hope it helps....
let length breadth and height of cuboidal block be 4y,3y,2y
TSA of cuboidal block = 8788 cm²
TSA of cuboidal block = 2(lb + bh + hl)
2(lb + bh + hl) = 8788
2(4y×3y + 3y×2y + 2y×4y)= 8788
12y²+6y²+8y²=8788/2
26y²=4394
y²=4394/26
y²= 169
y²= 13²
y=13
length of cuboidal block= 4y=4×13=52
breath of cuboidal block= 3y=3×13=39
height of cuboidal block= 2y=2×13=26
difference between length and height of cuboidal block = length of cuboidal block - height of the cuboidal block= 52-26= 26
hope it helps....
Answered by
6
Answer:
26cm
Explanation:
hi
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