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icang [17]
1 year ago
10

the top of the Washington Monument is shaped like a rectangular pyramid. the pyramid top has an approximate width and length of

34.5 feet and a height of 55 feet. what is the approximate volume of the pyramid top, in cubic feet. show work.
Mathematics
1 answer:
AveGali [126]1 year ago
6 0

The volume of a rectangular pyramid

Given a rectangular pyramid of width W, length L, and Height H, the volume is

V=\frac{\text{WLH}}{3}

We have to assume the pyramid given in the question has a square shape of length and width of L=34.5 feet and W = 34.5 feet, and a height of H=55 feet, thus the volume is:

V=\frac{\text{34.5}\cdot34.5\cdot55}{3}=21,821.25ft^3

Correct choice: A

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Answer:

A. V = (pi)(3.25)^2(12)

Step-by-step explanation:

The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,

A = (pi)(r)^2

Multiply that by the height to find the formula for the volume of a cylinder,

V=(pi)(r)^2(h)

Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.

V=(pi)(\frac{6.5}{2})^2(12)\\\\V = (pi)(3.25)^2(12)

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Density of a 8200 gram brick that is 4 inches x 4 inches x 4 inches?
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Density = mass / volume
Density = 8,200 grams / (4*4*4)
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Density = <span> <span> <span> 128.125 </span> </span> </span> grams / cubic inch


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