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Kruka [31]
3 years ago
10

Find the lateral surface area and the total surface area.

Mathematics
2 answers:
Olenka [21]3 years ago
8 0

Heya,

Surface Area Formula: 2lw + 2lh + 2hw (l = length, h = height, and w = width)

l = 4

h = 4

w = 4

= 2(4)(4) + 2(4)(4) + 2(4)(4)

= 2(16) + 2(16) + 2(16)

= 32 + 32 + 32

= 64 + 32

= 96 units is the total surface area.

The lateral surface area is the total surface area excluding the bases. The base of the square are the sides which are squares.

The total surface area is 96 units, so, just subtract the area of the bases.

Area of bases: (4 * 4) * 2 = 32

Subtract to find the lateral surface area: 96 - 32 = 64 units is the lateral surface area.

Best of Luck!

SashulF [63]3 years ago
5 0

You can solve for the Lateral Surface Area of a rectangle by using the following equation:

L.S.A = 2h(l + w)

In the case of the given rectangular prism,

l = 4

w = 4

h = 4

Plug in the corresponding numbers to the corresponding variables:

L.S.A = 2(4)(4 + 4)

Simplify. Remember to follow PEMDAS.

PEMDAS =

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

First, solve for the parenthesis:  

L.S.A = 2(4)(8)

 

Multiply:  

L.S.A = 2 * 4 * 8

L.S.A = (8) * 8

L.S.A = 64

Your lateral surface area = 64

--------------------------------------------------------------------------------------------

Solve for your surface area.

The surface area of a rectangular prism can be solved using the following equation:

S.A = 2lw + 2wh + 2lh

Let:

l = length = 4

w = width = 4

h = height = 4

Plug in the corresponding numbers to the corresponding variables;

S.A = 2(4)(4) + 2(4)(4) + 2(4)(4)

Simplify. Remember to follow PEMDAS. First multiply, then add:

S.A = (32) + (32) + (32)

S.A = 96

Your total surface area = 96

~

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4 0
3 years ago
Suppose that F is an inverse square force field below, where c is a constant.
Andre45 [30]

Answer:

Forces in our Universe

Step-by-step explanation:

a)

First of all we have,

F(r) = \frac{cr}{|r|^{3} }

and,

r = xi+yj+zk

We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,

f(r) = - c /|r|

That is,

\nabla f = F

For this case F is a conservative field and the line integral is independent of the path. Thus, defining  P_{1} = (x_{1}, y_{1}, z_{1}) and P_{2} = (x_{2}, y_{2}, z_{2}) . So the amount of work on the movement of the object from P1 to P2 is,

W=\int\limits_c  {F} \, dr

W= f(P_{1}-P_{2})

W= \frac{c}{(x_{2}^2+ y_{2}^2+ z_{2}^2)^{1/2} } -\frac{c}{(x_{1}^2+ y_{1}^2+ z_{1}^2)^{1/2}}

W= c(\frac{1}{d1}-\frac{1}{d2}  )

2) The gravitational force field is given by,

F(r) =-\frac{mMGr}{ |r|^3}

The maximum distance from the earth to the sun is 1.52*10 ^ 8 km and the minimum distance is 1.47*10 ^ 8km. The mass values of the bodies are given by m = 5.97*10 ^ {24}kg, M = 1.99 *19 ^ {30}kg and the constant G is 6.67 * 10 ^{ -11 } \frac{Nm ^ 2}{kg^2}

In this way we raise the problem like this,

c= -mMG

W= -mMG (\frac{1}{1.52*10 ^ 8} -\frac{1}{1.47*10 ^ 8} )

W= -(5.95*10^{24})(1.99*10^{30})(6.67*10^{-11})(-2.2377*10^{-10})

W \approx 1.77*10^{35}}J

5 0
3 years ago
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after
Vlad [161]
Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

A = A_ob^t
3600 = 3000b^4

Now we solve for b
3600 = 3000b^4
\frac{3600}{3000} = \frac{3000b^{4}}{3000}
\frac{6}{5} = b^4
\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}
\sqrt[4]{\frac{6}{5}} = b

Now that we have found b, we can use the equation A = 3000b^t to predict how many bacteria will be present after 10 hours.
b = \sqrt[4]{\frac{6}{5}}
t = 10
A = 3000b^t
A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732

Answer = 4732



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3 years ago
Which shows the inequality for numbers at least 70?
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Jejrhfhfhfhfhfhfhfhfhfjfjfjfjfjfjfjf
6 0
2 years ago
Can someone please help me :)
tensa zangetsu [6.8K]
Since 93p+84=85
subtract 84 from both sides
93p=1
p=(1/93)
8 0
3 years ago
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