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A triangular prism is 14.3 millimeters long. It has a triangular face with a height of 12 millimeters. The volume of the prism is 1,123.98 cubic millimeters. What is the base of its triangular face?

Respuesta :

MrEquation
Answer: The base of the triangle is about 13.1 mm.

The formula for the volume of the prism is below. All we have to do is input the values we know and solve for the missing B.

Volume = BH/2 (Length)
1123.98= (12B/2) x (14.3)
78.6 = 12B/2
157.2 = 12B
13.1 = B
smmwaite

Answer

13.1 millimeters


Explanation

The volume of any regular object is found by;

Volume = base area × length.

In the question, the base is a triangle of height  12 millimeters and a base length L.

The length of the prism is  14.3 millimeters.

∴ Volume = base area × length.

   1,123.98 = (1/2 × 12 × L) × 14.3

   1,123.98 = 85.8 L

   L =  1,123.98/85.8

       = 13.1 millimeters

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