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what is the volume? 10.7 cm 6 cm 13 cm cubic centimeters

Question

what is the volume? 10.7 cm 6 cm 13 cm cubic centimeters

Explanation:

Step1: Find base - area of the triangular - prism

The base is a triangle. The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base of the triangle is $6$ cm and the height is $10.7$ cm. So, $A = \frac{1}{2}\times6\times10.7= 3\times10.7 = 32.1$ $cm^{2}$.

Step2: Calculate the volume of the triangular - prism

The volume formula for a prism is $V=A\times l$, where $A$ is the base - area and $l$ is the length of the prism. The length of the prism is $13$ cm. So, $V=32.1\times13 = 417.3$ $cm^{3}$.

Answer:

$417.3$