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storchak [24]
3 years ago
12

A storage unit is in the shape of a cube with 8-foot edge lengths.

Mathematics
1 answer:
Margaret [11]3 years ago
7 0
The answer is 3,072.
Heres how I got it:

SA of a CUBE: s^3 * 6

Lets plug in our numbers-
8 * 8 * 8= 512 * 6

512 * 6= 3072
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Answer:

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

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Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

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By taking derivative on both the sides of the equation,

(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}

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When automobile is 30 miles past the intersection,

For x = 30

\frac{dh}{dt}=\frac{30r}{h}

Since h=\sqrt{d^{2}+(30)^{2}}

Therefore,

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}

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