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The height of a triangular prism is 40 cm. If the sides of the base of the prism are 8 cm, 6 cm and 10 cm, find the area of rectangular surfaces of the prism.​

Sagot :

Answer:  960 square cm

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Explanation:

We multiply each side of the triangle (8,6,and 10) by the height of the prism. This will give us the area of each rectangular panel.

  • 8*40 = 320
  • 6*40 = 240
  • 10*40 = 400

The total lateral surface area is therefore 320+240+400 = 960 square cm. This excludes the area of the triangular bases.

You could compute it alternatively like this:

40*(8+6+10) = 40*24 = 960

The 8+6+10 portion represents finding the perimeter of the triangular base.

shubhamchouhanvrVT

The area of rectangular surfaces of the prism will be equal to 960 square cm. If the sides of the base of the prism are 8 cm, 6 cm and 10 cm

What is a Triangular prism?

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces.

We multiply each side of the triangle (8,6,and 10) by the height of the prism. This will give us the area of each rectangular panel.

[tex]8\times 40 = 320\\\\6\times 40 = 240\\\\10\times 40 = 400[/tex]

The total lateral surface area is therefore

320+240+400 = 960 square cm.

This excludes the area of the triangular bases.

You could compute it alternatively like this:

[tex]40*(8+6+10) = 40\times 24 = 960[/tex]

Hence the area of rectangular surfaces of the prism will be equal to 960 square cm.

To know more about Triangular prism follow

https://brainly.com/question/1284982

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