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11111nata11111 [884]
3 years ago
8

A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid.If the height is 6 c

m, the volume of the pyramid is ____cm3.
Mathematics
2 answers:
zavuch27 [327]3 years ago
6 0

Answer:

The volume of the pyramid is 128 cm³

Step-by-step explanation:

* Lets revise the volume of the pyramid

- The pyramid has one base and the number of side faces depends

 on the number of sides of the base

- The volume of any pyramid is 1/3 × Area of its base × its height

* Lets solve the problem

- The pyramid has a square base

- It has four side faces all of them are triangles

- It has five vertices and eight edges

- The area of the base = s², where s is the length of the side of

  the square

- The volume of the pyramid is 1/3 × s² × h, where h is the height

 of the pyramid

- The base edge length of the base is 2 cm longer than the height

 of the pyramid

- The height of the pyramid is 6 cm

∵ The length of the edge of the base is 2 cm longer than the

   height of the pyramid

∵ The height of the pyramid (h) = 6 cm

∴ The edge length of the base = 6 + 2 = 8 cm

- The area of the base = s²

∵ s = 8 cm

∴ The area of the base (s²) = 8² = 64 cm²

- The volume of the pyramid = 1/3 × s² × h

∴ Its volume = 1/3 × 64 × 6 = 128 cm³

* The volume of the pyramid is 128 cm³

butalik [34]3 years ago
4 0

The correct answer is:

128 cm^3

Hope this helps

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ehidna [41]

The probability that the first slice of the cake will have the marble exists

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<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

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The volume of the cake exists, $V=\pi(\frac{d}{2} )^{2} h \\

$&V=\pi(\frac{9}{2} )^{2} * 4

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The part B of the question requires that the volume of each cut be

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To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$P=\frac{27}{81 \pi}

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Expand $\pi$

$&P=\frac{7}{3 * 22} \\

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Therefore, the probability that the first slice of the cake will contain the

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To learn more about probability refer to:

brainly.com/question/24756209

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Please helppp 3/4+(1/3÷1/6)-(-1/2)=​
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