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4 years ago

Sara makes a cuboid having sides 15cm and 30cm .how many such cuboids will be needed to form a cube

Mathematics

1 answer:

zhuklara [117]4 years ago

4 0

cuboid=3*3*5 [i.e l*b*h]

LCM of 3,5=15

i.e 15cm is the dimension of the final cube.

therefore cuboid required across length=15/3=5

similarly, across breadth=15/3=5

similarly, across height=15/5=3

Therefore total no of cuboid=5*5*3=75

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<h3>How to determine the true statement</h3>

The function of f(x) is represented as:

$f(x)=x^3-2x^2+4x-8$

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$f'(x)=3x^2-4x+4$

Calculate the minimum value using:

$x = -\frac b{2a}$

So, we have:

$x = -\frac {-4}{2*3}$

$x = \frac {2}{3}$

Substitute 2/3 in f'(x)

$f'(2/3)=3*(2/3)^2-4(2/3)+4$

$f'(2/3)=\frac 83$

The value of f'(2/3) is greater than 0.

This means that the function f(x) has 1 real zero, and it occurs once at point (2,0)

Hence, the true statement is (b)