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4 years ago

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

Mathematics

1 answer:

irina [24]4 years ago

8 0

The volume of the pyramid is 167.6 cube inch (approx).

Step-by-step explanation:

Given,

Each length (l) of the base of the pyramid = 8.3 in

Height(h) of the pyramid = 7.3 in

To find the volume of the pyramid.

Formula

Volume of the pyramid = $\frac{1}{3}$ ×area of the base×height

Area of the base = l²

Now,

The volume of the pyramid = $\frac{1}{3}$ ×l²×h

= $\frac{1}{3}$ ×8.3²×7.3 cube inch = 167.6 cube inch (approx)

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Analyze the graph of the cube root function shown

Greeley [361]

The values of a, h, and k in the general equation is h=1, k=4 and a=2

<h3>What is parent function?</h3>

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 = a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 = a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

Learn more about parent function

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7 0

2 years ago

The radius of a circle is 3 cm what is the circumference

malfutka [58]

the circumference is about 18.85

6 0

3 years ago

Jaylee bought a pair of shoes and are seems to receive some below from the store she's trying to figure out the sales tax rate t

Anna35 [415]

Answer:

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3 0

3 years ago

Using appropriate properties, find the value of 249² - 248²

Lady_Fox [76]

Answer:

$\boxed{\bold{\huge{\boxed{497}}}}$

Step-by-step explanation:

=> $\sf 249^2 - 248^2$

<u>Using Formula</u> $\sf a^2 - b^2 = (a+b)(a-b)$

<u><em>Where </em></u>

a = 249

b = 248

=> $\sf (249+248)(249-248)$

=> $\sf (497)(1)$

=> 497

3 0

3 years ago

A new element with atomic number 116 was discovered in 2000. In 2012 it was named livermorium, Lv. Although Lv is radioactive an

allsm [11]

Answer:

7s²7p⁴

Step-by-step explanation:

Livermorium is located in the seventh period and sixteenth column of the periodic table. The noble gas configuration for livermorium is [Rn]7s²5f¹⁴6d¹⁰7p⁴. The valence electrons are the ones in the orbitals with the highest quantum number (coefficient). Remember, there can be up to 8 valence electrons at one time. Therefore, the valence electron configuration is 7s²7p⁴.

6 0

2 years ago

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