Question

find the volume of this triangular prism. be sure to include the correct unit in your answer. 7 cm 6 cm 5 cm

Explanation:

Step1: Find the area of the triangular base

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. Here, the base of the triangle is $6$ cm and the height is $5$ cm. So, $A = \frac{1}{2} \times 6 \times 5 = 15$ $cm^2$.

Step2: Calculate the volume of the triangular prism

The formula for the volume of a triangular prism is $V = Area\ of\ base \times length\ of\ the\ prism$. The length of the prism (the distance between the two triangular bases) is $7$ cm. So, $V = 15 \times 7 = 105$ $cm^3$.

Answer:

$105$ cubic centimeters (or $105\ cm^3$)