Question

1. v = bh

v = 36 in³
b = 6 in²
(image of a hexagonal prism)

Explanation:

Step1: Identify the formula and known values

We know the volume formula for a prism is \( V = Bh \), where \( V = 36\space\text{in}^3 \) and \( B = 6\space\text{in}^2 \). We need to solve for \( h \).

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

To solve for \( h \), we divide both sides of the equation \( V = Bh \) by \( B \). So, \( h=\frac{V}{B} \).

Step3: Substitute the known values into the formula

Substitute \( V = 36 \) and \( B = 6 \) into the formula \( h=\frac{V}{B} \). We get \( h=\frac{36}{6} \).

Step4: Calculate the value of \( h \)

\( \frac{36}{6}=6 \).

Answer:

The height \( h \) is \( 6\space\text{inches} \).