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3 years ago

How do find the volume of l blocks

Mathematics

1 answer:

kow [346]3 years ago

5 0

For number 1)

you must first split the figure, so subtract the 8 mm from 12 mm to find the width.... = 4mm

so you use the numbers 10 x 2 x 4 = 80 mm

and 2 x 8 x 3 = 48 mm

80 mm + 48 mm = volume of the figure

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Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

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Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

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The cost to construct of the bottom of the box is

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The cost to construct of the top of the box is

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The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

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C $=30x^2+6xh$

Putting the value of h

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$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

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