Question

find the volume of the triangular prism. 7 cm 5 cm 6 cm v = ? cm³ hint: find the area of the triangular base. then, multiply that area by the height.

Explanation:

Step1: Calculate base - area

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base of the triangular base is $5$ cm and the height of the triangular base is $7$ cm. So, $A = \frac{1}{2}\times5\times7=\frac{35}{2}$ $cm^{2}$.

Step2: Calculate volume

The volume formula for a prism is $V=A\times length$. The length of the prism is $6$ cm and the area of the base $A=\frac{35}{2}$ $cm^{2}$. So, $V=\frac{35}{2}\times6 = 105$ $cm^{3}$.

Answer:

$105$