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Anna [14]
3 years ago
11

Explain how to find surface area of a rectangular prism. Be specific and use examples.

Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0
As you can see in the picture above, there are six faces of a rectangular prism; two are formed with dimensions width and height, two are formed by the dimensions length and width, and two are formed by the dimensions length and height. So, if you know the length, width, and height of the rectangular prism, then the formula for the surface area is

=(2⋅ℎ⋅ℎ)+(2⋅ℎ⋅ℎℎ)+(2⋅ℎ⋅ℎℎ)

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Give the property that justifies each step.
hjlf

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

  • <em>Distributive property</em>

a(b+c) = ab+ac

For example,

suppose a=1, b=2, c=3

1(2+3) = 1(2) + 1(3)

5 = 2+3 = 5

  • <em>Subtraction property of Equality</em>

if (a=b), then a-c = b-c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a-c = b-c ⇒ 1-3 = 1 - 3  ⇒ -2 = -2

  • <em>Addition property of Equality</em>

if (a=b), then a+c = b+c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a+c = b+c ⇒ 1+3 = 1+3  ⇒ 4 = 4

  • <em>Multiplicative property of Equality</em>

if (a=b), then a×c = b×c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a×c = b×c ⇒ 1×3 = 1 × 3  ⇒ 3 = 3

  • <em>Division property of Equality</em>

if (a=b), then a÷c = b÷c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3  ⇒ 1/3 = 1/3

Let's solve the given equation using the above properties.

5(x+10) = 20        Given

5x+50 = 20          1) Distriburive property ∵ a(b+c) = ab+ac

5x = -30               2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c

x = -6                    3) Division property of Equality  ∵ if (a=b), then a÷c = b÷c

         

5 0
3 years ago
Solve for x and y in the figure below
Len [333]

Step-by-step explanation:

All the sides of the triangle are equal

Therefore, it is a equilateral triangle

and all angles measure 60°.

So, 25x-15= 60

25x = 60+15= 75

x= 75/25

x= 3

2y = 60

y=30

optionA

4 0
3 years ago
Evaluate the expression<br><br> (3+2) x (5-1+2) x 4
Elza [17]
PEMDAS

(3+2)=5
(5-1+2)=6
6*5*4=120
3 0
3 years ago
Can someone please help I'm stupid <br> 1.25x - 6.50 &gt; 60
zhenek [66]

Answer:

x>53.2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the common ratio between successive terms in the sequence?
Lisa [10]

Answer:

1.5,1.2,0.96,0.768

Common ratio between successive terms

=\frac{1.2}{1.5}

=0.8

<u>OAmalOHopeO</u>

4 0
3 years ago
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