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2 years ago

How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?

Mathematics

1 answer:

Elan Coil [88]2 years ago

3 0

The length, width and height of the rectangular prism is ∛10

<h3>How to determine the dimensions?</h3>

The volume is given as:

Volume, V = 10m^3

For a minimised volume, we have:

Length = Width = Height

This means that:

V = L^3

So, we have:

L^3 = 10

Take the cube root of both sides

L = ∛10

Hence, the length, width and height of the rectangular prism is ∛10

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<span>(2x-3)(4x+5)

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Second multiply -3 and 4x, then -3 and 5.

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8x^2 + 10x - 12x -15 = 8x^2 - 2x - 15 is the answer

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3 years ago

Iris tenía cierta cantidad de dinero por su cumpleaños su mamá le dio 20 soles después tu papá le dio el triple de lo que ya ten

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Resultado:

${ \: \: \: \: \: \: \: \: \: \Rightarrow 20 + 60 + 80 = 160}$

$\: \: \: \: \: \: \: \: \: \sf \Rightarrow20+60+80=160$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf \Rightarrow160 - 100 = 60}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \Rightarrow160−100=60$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf \Rightarrow100 - 60 = 40}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf \Rightarrow100−60=40}$

$\: \: \: \: \: \: \sf \Rightarrow60 + 40 + 100 = 200$

$\: \: \: \: \: \: \: { \sf \Rightarrow60+40+100=200}$

$\bf\green{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Answer :}$

Iris al principio tenía 40 soles.

Espero que te sirva, salu2!!!!

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2 years ago

Read 2 more answers

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4 years ago

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xenn [34]

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4 years ago

As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from 30° to 45°. Id

levacccp [35]

ANSWER

The height is $22ft$

EXPLANATION

Let the height of the chimney be x.

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Put

$y = x$

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$16 \sqrt{3}= 3x - x \sqrt{3}$

$16 \sqrt{3}= (3 - \sqrt{3})x$

$\frac{16 \sqrt{3} }{3 - \sqrt{3} } = x$

$x=21.856$

The height of the chimney to the nearest feet is 22

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