Question

X=y=2z and xyz=256 then value of x=?

Answer 1

Answer:

Answer:4

Step-by-step explanation:

2z*2z*z=256

4z^3=256

z^3=64

z=4

Answer 2

x = y = 2z and xyz = 256 then value of x is 8

Solution:

Given that,

x = y = 2z

Also,

xyz = 256

To find: value of x

From given,

xyz = 256 --------- eqn 1

Make it in terms of z

We know that, from given, x = y = 2z

Substitute x and y = 2z in eqn 1

$2z \times 2z \times z = 256\\\\4z^3 = 265\\\\z^3 = \frac{256}{4}\\\\z^3 = 64\\\\Take\ cube\ root\ on\ both\ sides\\\\z =\sqrt[3]{64} \\\\z = 4$

Find the value of x

x = 2z = 2(4) = 8

Thus the value of x is 8

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