What is the volume of the prism? What is the surface area of the prism?

Here is a prism with a pentagonal base. The height is 8 cm. Area of the base 29 square centimeters.

What Is The Volume Of The Prism? What Is The Surface Area Of The Prism?Here Is A Prism With A Pentagonal

Answers

Answer 1

Answer:

The volume is 232, and the surface area is 234

Step-by-step explanation:

The volume is the base times height, so 29*8 =  232

Surface area: 29 + 29 + 40 + 16 + 24 + 56 + 40 = 234

Answer 2

The shape is an irregular shape consisting of a triangular prism and cuboids. The volume is 232 cubic centimeters while the surface area is 234 centimeters square.

How do you calculate the volume of the Prism?

The shape can be dissected into three geometrical shapes:

Two cuboids and a prism.

The volume of a cuboid is given as follows:
Length x width x height.

Solving for the first cuboid, we have the following information:

Lenght = 3cm

Width = 8cm

Height  = 5 cm

hence the volume is: 3 x 8 x 5 = 120cm

Solving for the second cuboid, we have the following information:

Lenght = 4cm

Width = 8cm, and

height = 2cm

Hence it's volume is given as: 4 x 8 x 2 = 64cm.

The formula for the volume of a triangular prism is given:

V  = B * h, where B is the area of the triangular base.

First lets solve for B. This is given as:

1/2b*h where the Height (h) of the triangle is 3cm, and the base is 4cm.

Hence B = 1/2 * 3 * 4 = 6cm

hence the volume of the triangular prism is = 6 * 8 = 48cm

Hence the total volume of the shape is:

120 + 64 + 48 = 232cm³

To get the surface areas fo the shape, all that is required is to use the rudimentary formulas of lenght x breadth for each side that resembles a polygon.

This gives us: the respective surface areas:

29 + 29 + 40 + 16 + 24 + 56 + 40 = 234cm²

Learn more about irregular shapes at:
https://brainly.com/question/12704929

What Is The Volume Of The Prism? What Is The Surface Area Of The Prism?Here Is A Prism With A Pentagonal

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Answer:

Step-by-step explanation:

Figure A

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Figure b

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Answer:

104 m

Step-by-step explanation:

First, find the area of the rectangle, getting 8m * 10m, or 80m

Next, add the area of the triangle, 1/2 * 6m * 8m, or 24m.

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Hopefully this helps - let me know if you have any questions!

the answer it is 104 m

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Biased

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Answers

Answer:

I think biased

Step-by-step explanation:

Answer:

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biased

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answers

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Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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