Mathematics, 21.04.2020 15:49 Okaytashy

A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The client tells the manufacturer that, because of the contents, the length of the container must be one meter longer than the width, and the height must be one meter greater than twice the width. What should the dimensions of the container be?

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Answer from: mercedes73

The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

Step-by-step explanation:

Let the width of rectangular solid be x

We are given that the length of the container must be one meter longer than the width

So, Length of solid = x+1

We are also given that height must be one meter greater than twice the width

So, Height of solid = 2x+1

So, Volume of solid = $Length \times Width \times height$

Volume of solid = $(x+1) \times x \times (2x+1)$

Volume of solid = (x^2+x)(2x+1)

Volume of solid = 2x^3+x^2+2x^2+x=2x^3+3x^2+x

We are given that a rectangular solid must have a volume of 84 cubic meters

So, $2x^3+3x^2+x=84\\2x^3+3x^2+x-84=0\\(x-3)(2x^2+9x-28)=0\\$

On equating

x-3=0

x=3

So, Length of solid = x+1=3+1 = 4 feet

Height of solid = 2x+1 =2(3)+1=7 feet

Width of solid = 3 feet

Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

Answer from: madisella021

The volume of a rectangular solid shipping container = 84 cubic meters

The width of the container = 3m

The length of the container = (x + 1) = (3+1) = 4m

The height of the container = (2x + 1) = (2 x 3 + 1) = 7m

Given:

The volume of a rectangular solid shipping container = 84 cubic meters

Let: The width of the container be x

The length of the container must be one meter longer than the width.

So, The length of the container be (x + 1)

The height must be one meter greater than twice the width.

So, The height of the container be (2x + 1)

To find the dimensions of the container

The Volume of the container = Length x Width x Height

84=x(x+1)(2x+1)

$84=(x^{2} +x)(2x+1)$

$84=2x^{3} +3x^{2} +x$

$2x^{3} +3x^{2} +x-84=0\\(x-3)(2x^{2} +9x+28)=0\\x-3=0\\x=3$

So, The width of the container = 3m

The length of the container = (x + 1) = (3+1) = 4m

The height of the container = (2x + 1) = (2 x 3 + 1) = 7m

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the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

Which best describes how to find the length of an arc in a circle?

Answer from: Quest

i wish i could you, i have no idea how to answer this

step-by-step explanation:

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