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andrey2020 [161]
2 years ago
8

Find the surface area of the figure below.

Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0

Answer:

261 cm²

Step-by-step explanation:

To find the surface area of a square pyramid, you must first recognize all of the shapes.

There are four triangles and one square.

  • To find the area of a square, multiply the side by itself twice.
  • To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.

The triangles have a base of 9 and a height of 10.

9*10=90

Multiply the product by 1/2.

90*1/2 = 45

There are four triangles.

45*4=180

The area of all three triangles is 180 centimeters; the area of a single triangle is 45 centimeters.

There square has sides of 9 centimeters.

9*9=81

The area of the square is 81 centimeters.

Lastly, we add the areas of the shapes.

45+45+45+45+81 = 261.

Therefore, the surface area of this square prism is 261 cm².

You can use this layout to find the surface area of a square pyramid.

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Two planes intersect in exactly one point
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Answer:

If two planes intersect, then their intersection is a line. A line contains at least two points. If two lines intersect, then exactly one plane contains both lines. If a point lies outside a line, then exactly one plane contains both the line and the point.

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2 years ago
What is the next term of the geometric sequence? 72,36,18
MissTica

Answer:

9

Step-by-step explanation:

The ratio is 1/2 so the next term would always be half of the previous one.

- 72 times 1/2 is 36

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3 years ago
Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres an
BigorU [14]

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

6 0
2 years ago
hi sorry im slow could someone help
Gnoma [55]

Answer:

95

Step-by-step explanation:

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The sum of a number and twelve is twenty-one. What is the number? 21 n 12 8 9 10 33
Sonbull [250]

Answer:

9

Step-by-step explanation:

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4 0
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Read 2 more answers
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