Question

what is the volume? 19.6 mm 15.7 mm 13.6 mm cubic millimeters submit

Explanation:

Step1: Identify prism volume formula

The volume of a prism is $V = \text{Base Area} \times \text{Length}$. Here, the base is a triangle, so first calculate the area of the triangular base.

Step2: Calculate triangular base area

Area of triangle: $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 15.7 \times 19.6$
$\frac{1}{2} \times 15.7 \times 19.6 = 15.7 \times 9.8 = 153.86$

Step3: Calculate prism volume

Multiply base area by the prism length (13.6 mm):
$V = 153.86 \times 13.6$
$153.86 \times 13.6 = 2092.496$

Answer:

2092.496 cubic millimeters