Question

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

Answer 1

B

Explanation:

to clarify the top answer above

Answer 2

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:
`\displaystyle V = (1)/(2)hwl`

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

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]:
   `\displaystyle V = (1)/(2)(13 \ m)(6 \ m)(5 \ m)`
2. Multiply:
   `\displaystyle V = (1)/(2)(78 \ m^2)(5 \ m)`
3. Multiply:
   `\displaystyle V = (1)/(2)(390 \ m^3)`
4. Multiply:
   `\displaystyle V = 195 \ m^3`