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What is the volume of this triangular prism?

A right triangular prism with a height of 13 meters, width of 6 meters, and length of 5 meters.
182
195
210
390

Respuesta :

Space

Answer:

V = 195 m³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Geometry

Volume of a Triangular Prism Formula: [tex]\displaystyle V = \frac{1}{2}hwl[/tex]

  • h is height
  • w is width
  • l is length

Step-by-step explanation:

Step 1: Define

Identify variables

h = 13 m

w = 6 m

l = 5 m

Step 2: Find Volume

  1. Substitute in variables [Volume of a Triangular Prism Formula]:                  [tex]\displaystyle V = \frac{1}{2}(13 \ m)(6 \ m)(5 \ m)[/tex]
  2. Multiply:                                                                                                             [tex]\displaystyle V = \frac{1}{2}(78 \ m^2)(5 \ m)[/tex]
  3. Multiply:                                                                                                             [tex]\displaystyle V = \frac{1}{2}(390 \ m^3)[/tex]
  4. Multiply:                                                                                                             [tex]\displaystyle V = 195 \ m^3[/tex]
26sawyemccla

Answer:

B

Step-by-step explanation:

to clarify the top answer above

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