Question

find the volume of this prism. volume of a prism ( v = bh ) ( v=square m^{3} )

Explanation:

Step1: Calculate the base area \( B \)

The base is a rectangle with length \( 5\) m and width \( 2\) m. The area of a rectangle is \( B=\text{length}\times\text{width}\), so \( B = 5\times2=10\space m^{2}\)

Step2: Identify the height \( h \) of the prism

The height \( h\) of the prism (distance between the two bases) is \( 7\) m.

Step3: Calculate the volume \( V \) using the formula \( V = Bh \)

Substitute \( B = 10\space m^{2}\) and \( h=7\space m\) into the formula \( V=Bh\). Then \( V=10\times7 = 70\space m^{3}\)

Answer:

\(70\)