Respuesta :

Given:

  • w= 6 units
  • h= 6 units
  • l= 10 units

Note that:

  • w: width
  • h: height
  • l: length

To find:

  • The volume of the given triangular prism.

Solution:

  • Triangular prism is a 3 sided prism with same area of cross section with 2 triangular bases.

[tex]\large\boxed{Formula: V= \frac{wl}{2}×h}[/tex]

Let's solve!

First, let's multiply width and height.

[tex]6×6[/tex]

[tex]= 36[/tex]

Now, we'll have to divide the answer by 2.

[tex]\frac{36}{2}[/tex]

[tex]= 18[/tex]

Then, multiply the answer by length.

[tex]18×10[/tex]

[tex]\large\boxed{V= 180 \: {units}^{3}}[/tex]

Hence, the volume of the given triangular prism is 180 cubic units.

1/2×6×6×10

=180 units^3

hope this helps

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