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3 years ago

15

A space for storing boxes is 36 inches high. Each box is 6 inches high. A space of 9 inches must be left at the top. what is the

maximum number of boxes that can be stacked in this space?

1 answer:

Dvinal [7]3 years ago

7 0

Answer:

Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer

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The correct answer is Choice A) 367,274.

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a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

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So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

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So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

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Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

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