Question

find the volume of the triangular prism. v = ? cm³ 5 cm 14 cm 8 cm hint: find the area of the triangular base. then, multiply that area by the height.

Explanation:

Step1: Calculate base - area of triangle

The formula for the area of a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base of the triangle is $8$ cm and the height is $5$ cm. So, $A = \frac{1}{2}\times8\times5= 20$ $cm^{2}$.

Step2: Calculate volume of prism

The volume of a prism is $V = A\times l$, where $A$ is the area of the base and $l$ is the length of the prism. Here, $A = 20$ $cm^{2}$ and $l=14$ cm. So, $V=20\times14 = 280$ $cm^{3}$.

Answer:

$280$