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mash [69]
3 years ago
11

The surface area of a cube can be found by using that expression 6X squared what is the surface area of a cube with a side of 1/

3 feet
Mathematics
1 answer:
gladu [14]3 years ago
5 0

side, s = 1/3ft

area, a = 6s^2

a = 6 × (1/3)^2 = 6/9 = 2/3 sq ft

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What is 10 times 10. ?
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10×10= 100

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Please help. I am doing a test and I do not understand what I am being asked.
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3 years ago
Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
allochka39001 [22]

Answer:

The answer to each question is:

  • A.) 403.2 cm^{2}
  • B.) 100. 8 cm^{2}

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

  • Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

  • Apothem = Edge * \frac{2+\sqrt{3}}{2}

If we replace the value of the edge, we obtain:

  • Apothem = 6 cm * \frac{2+\sqrt{3}}{2}
  • Apothem = 11.2 cm (approximately).

With this data, we can find the area:

  • Area of a dodecagon = 6 * apothem * edge
  • Area of a dodecagon = 6 * 11.2 cm * 6 cm
  • Area of a dodecagon = 403.2 cm^{2}

Then,<u> the area of the dodecagon is 403.2 </u>cm^{2}<u> approximately</u>.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

  • 12 pieces = 403.2 cm^{2}
  • 3 pieces = X

Then:

  • X = (3 * 403.2 cm^{2}) / 12
  • X = 1209.6 cm^{2} / 12
  • X = 100. 8 cm^{2}

In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u>cm^{2}<u> approximately</u>.

5 0
3 years ago
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