Question

this prism has a lateral area of 360 square yards. the base is a square. find the height of the prism. 9 m yards

Explanation:

Step1: Recall lateral - area formula for prism

The lateral area $L$ of a prism with a square base of side length $s$ and height $h$ is $L = 4sh$. Here, $s = 9$ yards and $L=360$ square yards.

Step2: Solve for height $h$

We have the equation $360 = 4\times9\times h$. First, simplify the right - hand side: $4\times9 = 36$. So the equation becomes $360=36h$. Then, divide both sides by 36 to solve for $h$. $h=\frac{360}{36}$.

Step3: Calculate the value of $h$

$h = 10$ yards.

Answer:

10