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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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natita [175]

Answer: 4

Step-by-step explanation: 1/4w + 1/4w + w + w = 10

                                              2/4w + 2w = 10

                                              1/2w + 2w = 10

                                               2.5w = 10

                                               Divide 10 by 2.5

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3 0
3 years ago
Water has a density of 1.00g/cm^3 per cubic centimeter. What is the mass of half a liter of water?
anygoal [31]

Answer:

The mass of half a liter of water is 500g, that is, 0.5kg.

Step-by-step explanation:

Density is mass divided by the volume, that is:

d = \frac{m}{v}

Here, we have to be careful. Since the density is in grams per cm³, m has to be in grams and v in cm³.

We have that:

d = 1

What is the mass of half a liter of water?

One liter is 1000 cm³.

So half a liter is 1000/2 = 500 cm³, which means that v = 500

Then

d = \frac{m}{v}

1 = \frac{m}{500}

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The mass of half a liter of water is 500g, that is, 0.5kg.

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2 years ago
A population of fish in a lake is 14000 in 2010. The population decreases 6% annually. What is the population in 2019
kodGreya [7K]

Answer:

8022.

Step-by-step explanation:

Let x be the number of years after 2010.

We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.

We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.

Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

6\5=\frac{6}{100}=0.06

Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:

y=14,000*(1-0.06)^x

y=14,000*(0.94)^x

Let us find x by subtracting 2010 from 2019.

x=2019-2010=9

Upon substituting x=9 in our function we will get,

y=14,000*(0.94)^9

y=14,000*0.5729948022286167

y=8021.927\approx 8022

Therefore, the population of fish in 2019 will be 8022.

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