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Here is a cuboid.

All measurements are in centimetres.

x is an integer.

The total volume of the cuboid is less than
900 cm^3

Show that x < 5.​

Here Is A CuboidAll Measurements Are In Centimetresx Is An IntegerThe Total Volume Of The Cuboid Is Less Than900 Cm3Show That X Lt 5 class=

Sagot :

lilymclain1

Answer:

Look below

Step-by-step explanation:

-x*3x*2x=6x^3

-6x^3<900

-(cube root both sides)

-6x<9.654893846

-divide by 6

-x=1.609148974

And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved

For given cuboid, x < 5

What is cuboid?

"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."

Formula of the volume of the cuboid:

V = l × w × h

where, l: length of the cuboid

w: width of the cuboid

h: height of the cuboid

For given example,

We have been given the total volume of the cuboid is less than 900 cm^3

⇒ V < 900 cm³

the length of the cuboid (l) = 3x

the width of the cuboid (w) = 2x

the height of the cuboid (h) = x

Using the formula of the volume of the cuboid,

⇒ V < 900

⇒ l × w × h < 900

⇒ (3x) × (2x) × (x) < 900

⇒ 6x³ < 900

⇒ x³ < 150

⇒ x < 5.3

⇒ x < 5

Therefore, for given cuboid, x < 5

Learn more about the volume of the cuboid here:

https://brainly.com/question/23118276

#SPJ2

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