Question

the area of 4 walls of a cuboidal box is 256 cm square . if the length is 5 times height and breadth is 3 times the height find all dimensions



please answer fast

Answer 1

Let height =x
Given area=256 cm square
A.t.q.
Length=5(height)
L=5x
Breadth=3(height)
B=3x

Curved surface area of cuboid
= 2(l+b)h
Given area=256 cm square
2(5x+3x)×x=256
2(8x)×x=256
16x^2=256
16x^2-256=0
Taking 8 common
8(2x^2-32)=0
2x^2-32=0
By factorization
2x^2+0x-32=0
2x^2+8x-8x-32=0
Taking common
2x(x+4)-8(x+4)=0
(x+4)(2x-8)=0
x+4=0,,,,,2x-8=0
x=-4,,,,,x=4
Sides can't be -ve so
x=4
Height=4cm
Length =5x
Length=5×4=20
Breadth=3x
Breadth=3×4=12
L=20
B=12
H=4

Answer 2

Answer:

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