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Lemur [1.5K]
3 years ago
7

Find the volume of a pyramid with a square base, where the perimeter of the base is

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

The volume of the pyramid is 101.8m³

Step-by-step explanation:

First of all we need to calculate the sides of the square

p = perimeter = 11.8m

s = side

p = s * 4

we replace with the known values

11.8m = s * 4

11.8m / 4 = s

2.95m = s

To calculate the volume of a pyramid we have to use the following formula:

v = volume

w = width = 2.95m

l = length = 2.95m

h = height = 11.7m

v = (w * l * h) / 3

we replace the values that ​​we know        

v = (2.95m * 2.95m * 11.7m) / 3

v = 101.819m³

Round to the nearest tenth

v = 101.819m³  = 101.8m³

The volume of the pyramid is 101.8m³

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Sunny_sXe [5.5K]
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Δ = 6² - 4.1.(-24)
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Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
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4(x-5)(3{x}^{2}+1)

Step-by-step explanation:

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1 - What is the largest number that divides evenly into 12x^3,-60x^2,4x, and -20 ?

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3 - Multiplying the results above,

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4) Factor out common terms in the first two terms, then in the last two terms.

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5)  Factor out the common term x-5.

4(x-5)(3{x}^{2}+1)

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Read 2 more answers
The area of a rectangle has decreased by 2%.
MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l.  Starting with the first and easiest:

w = a/l

now the second one:

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wp = 0.98a / 1.1l

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Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 =  w

We can then divide both sides by w, eliminating it

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And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too.  Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

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