We are asked to find the height of a rectangular-based pyramid given that its volume is $60 \text{ cm}^3$ and its base area is $18 \text{ cm}^2$.

1. Problem Description

We are asked to find the height of a rectangular-based pyramid given that its volume is $60 \text{ cm}^3$ and its base area is $18 \text{ cm}^2$.

2. Solution Steps

The formula for the volume of a pyramid is:

$V = \frac{1}{3} \cdot A \cdot h$

where $V$ is the volume, $A$ is the base area, and $h$ is the height.

We are given $V = 60 \text{ cm}^3$ and $A = 18 \text{ cm}^2$. We need to solve for $h$.

Substituting the given values into the formula:

$60 = \frac{1}{3} \cdot 18 \cdot h$

$60 = 6h$

$h = \frac{60}{6}$

$h = 10$

3. Final Answer

The height of the pyramid is 10 cm.

The answer is A.