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GREYUIT [131]
3 years ago
14

Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the

nearest tenth.
I would appreciate some help with this question as I don't fully understand what it's asking, abit of an explanation would be appreciated too!

Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is leg^2+leg^2=hypotenuse^2 .

But first, we have to find the height of this pyramid. The volume formula for a square pyramid is A=\frac{lwh}{3} . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s

In short, the slant height is 10.8 ft.

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4 years ago
Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters. If the train travels at a
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On march 24, 1989, the exxon valdez oil tanker ran aground and leaked millions of gallons of oil into prince william sound. the
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hours did it take for oil to cover the area  = 592

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<h3>What is geometrical figure?</h3>

Geometrical shapes are the shapes that depict the shapes of various items. Various figures have two dimensions, while others have three. Only the x and y axes are used for two-dimensional figures, whereas the x, y, and z axes are used for three-dimensional shapes.

<h3>According to the given information:</h3>

Given,

Area = 11000m²

Radius = .10m/h

We know the area of the circle:

Area = πr²

The relation between parameter:

Area = πr²

11000 = 3.14 * (0.10t)²

Dividing both side by 3.14

11000/3.14 = (3.14 * (0.10t)²)/3.14

by solving this we get:

(.10t)² = 3503.184

.10t = 59.187

dividing both side by 0.10

t  = 59.187/.10

t =  591.877

t = 592

hours did it take for oil to cover the area  = 592

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