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Tanzania [10]
1 year ago
10

12. Make a hexagonal pyramid with a base edge of 6 cm, base apothem of 4 cm and pyramid height of 10 cm. You can do it in clay,

porcelain or cardboard. (40%) It is supported by the following information • Side area • Total area • Volume • Used material • Elements of the figure outlined or marked.
Mathematics
1 answer:
Nonamiya [84]1 year ago
3 0

the volume of the hexagonal prism is 184. 75 cm^3

<h3>How to determine the volume of the hexagonal prism</h3>

It is important to note that the volume of a hexagonal prism is given as;

V = (2/√3) × ap2 × h

Where

  • ap is the apothem
  • h is the height of the prism

From the information given, we have the values of the following parameters;

height = 10cm

apothem = 4cm

base edge = 6cm

Now, let's  substitute the value of the parameters

Volume = (2/√3) × ap^2 × h

Volume = 2/√3 × 4^2 × 10

Multiply through

Volume = 1. 1547 × 16 × 10

Volume = 184. 75 cm^3

Thus, the volume of the hexagonal prism is 184. 75 cm^3

Learn more about a hexagonal prism here:

brainly.com/question/10171109

#SPJ1

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Softa [21]

<u><em>Answer:</em></u>

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

<u><em>Explanation:</em></u>

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

<u>Mathematically, an inverse variation relation is represented as follows:</u>

y = \frac{k}{x}

where x and y are the two variables and k is the constant of variation

<u><em>Now, let's check the givens:</em></u>

<u>Part a:</u>

We are given that y = 3 and k = 33

<u>Substitute in the original relation and solve for x as follows:</u>

y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11

<u>Part b:</u>

We are given that y = 11 and x = 5.2

<u>Substitute in the original relation and solve for k as follows:</u>

y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2

<u>Part c:</u>

We are given that x=7.8 and k=72

<u>Substitute in the original relation and solve for y as follows:</u>

y=\frac{k}{x}=\frac{72}{7.8}=9.2 to the nearest tenth

Hope this helps :)

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3 years ago
Is it possible to express every decimal as a fraction (without rounding)?
rusak2 [61]

Yes, with exceptions. It is possible to express every decimal as a fraction,
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Answer: X= 7.55cm

Step-by-step explanation:

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