What is the surface area of the square pyramid?



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in²

Square pyramid net consisting of a square and four triangles. The square has length and width of eight inches. A triangle has a base of eight inches and a height of eleven inches.

Answers

Answer 1

Answer:

  240 in²

Step-by-step explanation:

The surface area of the pyramid is the sum of the areas of the parts of the composite figure comprising the net. That is, it is the sum of the areas of four triangles and a square.

__

Face

The area of a triangle is ...

  A = 1/2bh

For the given triangles, this is ...

  A = 1/2(8 in)(11 in) = 44 in²

__

Base

The area of the square base is ...

  A = s²

For the given dimensions, this is ...

  A = (8 in)² = 64 in²

__

Total Surface Area

The sum of the areas of the four faces and the base is ...

  total area = 4(44 in²) +64 in² = 240 in²

The surface area of the square pyramid is 240 in².


Related Questions

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Answer:

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Answer:

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Its inner diameter is 14 yd., and its outer diameter is 20 yd.

Answers

Answer:

160.14yd²

Step-by-step explanation:

first we find both of their areas then we subtract the small one f4om the big one

A=πr²

step 1 find area of large circle

A=3.14×(10²)

A=3.14×100

A=314

step 2 find are of small circle

A=3.14×(7²)

A=3.14×49

A=153.86

step 3 subtract small area from big area

314-153.86=160.14

Find the Value of X.
Solve for X

Answers

Answer: x=21

Step-by-step explanation:


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Step-by-step explanation:

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Answers

Response

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Answers

Answer:

right triangle

Step-by-step explanation:

Hey there!

A triangle has to have three vertices that add up to 180 degrees

The angle measurments 50 and 40 are already given and added up, they equal 90 degrees

Now out of 180 degrees, 90 degrees is already shown

What you need to do now is try to find how much more degrees you need to get 180 degrees

As you know 180-90=90

So this means that the missing angle is 90 degrees

Now that we know this, we can find out what type of triangle this is

Since the triangle has an angle that is equal to 90 degrees, or it has a right angle, the triangle can be called a right triangle

A right triangle is a triangle that has an angle that is equal to 90 degrees

So this triangle is a right triangle

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Answers

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Answers

Answer:

Figure RST is congruent to figure R’S’T’.

Step-by-step explanation:

A series of transformations on quadrilateral Y
resulted in quadrilateral Z. The angle measures of
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Answers

Answer:

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Step-by-step explanation:

I am sorry if it is the wrong answer

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Answers

I believe 3 hours, not sure. Wait and see if someone else answers!

What is the simple interest rate on a $520
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Answers

16 2/3 or 16.6 repeated percent

Doug would like to construct a fence
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map is 10 inches, how many feet of
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Answers

He would need 30 feet of fencing.

he would need 30 feet of fencing

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Answers

Answer:

42 cm²

Step-by-step explanation:

the length of the shaded area is the length of the white rectangle, that is

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the width of the blue area is the length of the white rectangle subtract twice the width of the white rectangle, that is

width = 7 - (2 × 0.5) = 7 - 1 = 6 cm

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Answers

Answer:

Step-by-step explanation:

Two angles that are vertical are supplements of the same angle which means the two angles are congruent to each other.

A right triangle is shown. What is the value of x? Round to the nearest tenth.

Answers

Step-by-step explanation:

B²=a²+c²

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144-16.4=c²

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Add This Equation: In Photo...​

Answers

Answer:

see below

Step-by-step explanation:

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Answers

Answer:

14

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Step-by-step explanation:

Answer:

Step-by-step explanation:

35% of 40 is 14

55% of 80 is 44

1. Find the sum.
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Answers

Answer:

57?

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Answer: 5.5

Expand 26.4/4.8 by multiplying both numerator and the denominator by 10.

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Reduce the fraction 264/48​ to lowest terms by extracting and canceling out 24.

11/2

Factor

11/2​=5 1/2​=5.5

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Mark me brainliest as well please.

Answer:

i know i said it in the text but it's 5.5

Step-by-step explanation:

Select the correct answer

Answers

Answer:

B.

Step-by-step explanation:

it's B because if you put it as a mixed number it would be 21/2 ÷ 9/4 and then the rest is easy

Answer:

B

Step-by-step explanation:

4 2/3

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Answers

PEMDAS. parenthesis, exponents, multiple or divide (whichever come first from left to right), add or subtract (whichever comes first from left to right)

So first do stuff in parenthesis.
Then do divide because thats next on the list and it happens earlier than the multiply one.

So, A

Which of the following is the graph of y = negative (x minus 2) cubed minus 5?

Answers

Step-by-step explanation:

(x-2)^3 = x^3-6x^2+12x-8

-(x^3-6x^2+12x-8)=

-x^3+6x^2-12x+8

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I attached the picture

Answer:

NOT D graph 4

Step-by-step explanation:

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Answers

Answer:

64

Step-by-step explanation:

y = x + 4

y - x = 4

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The room is a cube with edge length 11 feet including the ceiling in the floor how much surface area must be painted

Answers

Answer: 726cm squared

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If the area of one face is 11x11=121

Because it is a cube and it has six faces with the same surface area we do 121x6=726 to give us the total surface area.

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NO LINKS! im not getting myself a virus

Answers

Answer: diameter

Step-by-step explanation:

Answer:

diameter

Step-by-step explanation:

The diameter connects two points on the edge of a circle through it's centre.

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Answers

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

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Answers

Answer:

1/8x20 is less than 20

Step-by-step explanation:

Since we know that 1x20 is equal to 20, and 1/8 is 8 times smaller than 1, we know that 1/8x20 is 20 divided by 8 which is smaller than 20

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Answers

Answer:

1:1

Step-by-step explanation:

AM= a and MB= b

But M is the midpoint,

Therefore,

a= b (AM= MB)

AM + MB = AB

2AM = AB

AM= AB/2

RATIO OF AM to MB

=

AB/2 : AB/2

= 1:1

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and only one correct answer. What is the probability that he answered neither of the problems correctly?
Do not round your answer.
0
X
?

Answers

Answer: The student answerd the problems wrong because he guessed instead of taking his time to correctly get the right answer.

Step-by-step explanation:

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