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gtnhenbr [62]
2 years ago
14

Help ASAP (find the area)

Mathematics
1 answer:
vova2212 [387]2 years ago
4 0

Area of pyramid is 168 cm^2

Here in the diagram is pyramid which is made by triangle and rectangle.

What is the pyramid?

A pyramid is a polyhedron for which the base is a polygon and all lateral faces are triangles.

From figure we have:

AB = 8 cm, AC = 6 cm, BC = 10 cm

And height h = 5 cm

Now area of triangle = 1/2×AB×AC

                                 = 1/2×8×6

                                 =24 cm^2

And perimeter of triangle = 8 + 6 + 10

     = 24 cm

Now area of pyramid = 24×5 + 2×24

                                      = 168 cm^2

Hence Area of given figure is 168cm^2.

Learn more about the area of pyramid visit:

https://brainly.in/question/7800461

#SPJ1

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A rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material
Valentin [98]

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

<h3>How to determine the function?</h3>

We have a rectangular storage container without a lid.

  • Volume, V = 10 m³
  • Length, l = 2w
  • Width, w = w
  • Base costs $15/m²
  • Sides costs $9/m²

The formula of volume of the box is

V = l × w × h

Where

  • l = length
  • w = width
  • h = height

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

Learn more about function of area here:

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I hope this helped :))

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Which shape could be thought of as being created by stacking congruent polygons?
weqwewe [10]

Answer:

Rectangular prism

Step-by-step explanation:

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