Question

1. evaluate the formula $v = \frac{bh}{3}$ for $b = 9\text{ in}^2$ and $h = 32\text{ in}$. 288 in.$^3$ 9.6 in.$^3$ 32 in.$^3$ 96 in.$^3$

Explanation:

Step1: Substitute the values into the formula

Substitute \( B = 9\) and \( h = 32\) into \( V=\frac{Bh}{3}\).
So, \( V=\frac{9\times32}{3}\).

Step2: Calculate the numerator first

Calculate \( 9\times32 = 288\). Then the formula becomes \( V=\frac{288}{3}\).

Step3: Do the division

\( 288\div3=96\).

Answer:

\(96\space in.^{3}\) (the fourth option)