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NeTakaya
1 year ago
12

A triangular prism is 19 centimeters long. It has a triangular face with a height of 14 centimeters. The volume of the prism is

2,354. 1 cubic centimeters. What is the base of its triangular face?​
Mathematics
1 answer:
andreyandreev [35.5K]1 year ago
7 0

The base of its triangular face of the triangular prism is found as 17.7 cm.

<h3>What is defined as the triangular prism?</h3>
  • A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism.
  • It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.

The formula for the volume of triangular prism is;

Volume = base area x length

The base area of the triangular base.

The area of the triangle = 1/2 base×height

The given values are-

  • volume = 2,354. 1 cubic centimeters.
  • length = 19 cm
  • height = 14 cm.

Thus, volume = base area x length

volume =  1/2 base × height × length

base = 2v/(height × length)

Put the values;

base = 2×2,354.1/(14 × 19)

base = 4708.2/(14 × 19)

base = 17.7 cm

Thus, the base of the triangular  prism is found as 17.7 cm.

To know more about the triangular prism, here

brainly.com/question/16128664

#SPJ9

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