Question

the volume of the given triangular prism is 1,680 cm³, and its height is 40 cm.
what is the cross sectional area a of this prism?

Explanation:

Step1: Recall the volume formula for a prism

The volume formula for a prism is \( V=A\times h \), where \( V \) is the volume, \( A \) is the cross - sectional area, and \( h \) is the height of the prism.

Step2: Rearrange the formula to solve for \( A \)

From \( V = A\times h \), we can get \( A=\frac{V}{h} \).

Step3: Substitute the given values

We know that \( V = 1680\space cm^{3}\) and \( h = 40\space cm\). Substituting these values into the formula \( A=\frac{V}{h}\), we have \( A=\frac{1680}{40}\).

Step4: Calculate the value of \( A \)

\( A=\frac{1680}{40}=42\space cm^{2}\)

Answer:

\(42\space cm^{2}\)