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valkas [14]
4 years ago
14

Find the surface area of the rectangular prism above using its net below

Mathematics
1 answer:
never [62]4 years ago
5 0

Answer:

82cm²

See explanation below

Step-by-step explanation:

The question is incomplete without the diagram of the rectangular prism and it's dimensions. We are to determine the surface area of the rectangular prism using it's net.

I would show you how to determine it using diagram below.

Find attached the diagram used in solving the question as well as the net obtained from the diagram.

Solution:

A net diagram is a 2-dimensional representation of a 3-dimensional solid in which case the solid is unfolded.

The net gives the total area of the sides and faces of the 3 dimensional figure.

The units of the diagram used are all in cm.

Using net diagram:

Area A = Area B = length × height = hl

Area C = Area D = width × length= wl

Area E = Area of F = height × width = hw

surface area of the rectangular prism = 2(wl + hl + hw)

w = width = 2cm

l= length = 7cm

h = height = 3cm

Insert the values in the formular

A = 2(2×7 + 3×7 + 2×3)

A = 2(14+21+6)

A = 2(41) = 82cm²

Surface area of the rectangular prism = 82cm²

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Sophie [7]

Answer:

13.5

Step-by-step explanation:

well if you are asking 27%, 4% and 5% of 1000

then,

27% of 1000= (27/100)*1000= 270

4% of 1000= (4/100)*1000= 40

5% of 1000= (5/100)*1000= 50

but if you are asking for

(27 divide by 4 divide 5)% of 1000

then,

((27÷4÷5)/100)*1000

= ((27*(\frac{1}{4})*(\frac{1}{5}))/100)*1000

=\frac{27}{20}*\frac{1}{100\\}*1000

=27/2

=13.5

                   

8 0
3 years ago
Alica has 20 cups of soup. She wants to put the soup into 1 quart containers. How many containers does she need?
mash [69]

Answer:

5 containers

Step-by-step explanation:

Alica has 20 cups of soup. She wants to put the soup into 1 quart containers. How many containers does she need?

It is important to note that:

4 cups = 1 quart

Hence, the number of containers she needs is calculated as:

4 cups = 1 quart

20 cups = x

Cross Multiply

4x = 20

x = 20/4

x = 5 quarts containers

Therefore, she needs 5 containers

7 0
3 years ago
if Sn is the nth partial sum of the harmonic series, show that e^Sn &gt; n+1. Why does this imply that the harmonic series is di
yanalaym [24]
S_n=\displaystyle\sum_{k=1}^n\frac1k

You have

\ln e^{S_n}=S_n\ln e=S_n

so showing that e^{S_n}>n+1 amounts to the same as showing that S_n>\ln(n+1).

As n\to\infty, you have \ln(n+1)\to\infty. By comparison, then, it follows that S_n\to\infty at a faster rate, which means S_\infty must diverge.
3 0
3 years ago
Will give brainliest how to solve 3x-4y = 5x+7y
topjm [15]

Answer:

(5x + -4y)(3x + 7y) = 0

Multiply (5x + -4y) * (3x + 7y)

(5x * (3x + 7y) + -4y * (3x + 7y)) = 0

((3x * 5x + 7y * 5x) + -4y * (3x + 7y)) = 0

Reorder the terms:

((35xy + 15x2) + -4y * (3x + 7y)) = 0

((35xy + 15x2) + -4y * (3x + 7y)) = 0

(35xy + 15x2 + (3x * -4y + 7y * -4y)) = 0

(35xy + 15x2 + (-12xy + -28y2)) = 0

Reorder the terms:

(35xy + -12xy + 15x2 + -28y2) = 0

Combine like terms: 35xy + -12xy = 23xy

(23xy + 15x2 + -28y2) = 0

Solving

23xy + 15x2 + -28y2 = 0

Solving for variable 'x'.

Factor a trinomial.

(5x + -4y)(3x + 7y) = 0

Step-by-step explanation:

6 0
3 years ago
PLS HELP HELP ME IN math pls:( =/​
dsp73

Answer:

43

Step-by-step explanation:

angle sum property of quadrilateral

87+ 103 + 127+ x = 360

317 + x = 360

x= 360-317

x = 43

5 0
3 years ago
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