The diagram represents a rectangular prism with the following known dimensions:

• Width = 2 cm
• Length = 15 cm
• Height = $x$ cm (unknown)

You are given the volume of the prism, $V = 60 \, \text{cm}^3$.

The volume $V$ of a rectangular prism is calculated using the formula: $V = \text{Length} \times \text{Width} \times \text{Height}$

Substituting the known values into the formula: $60 = 15 \, \text{cm} \times 2 \, \text{cm} \times x \, \text{cm}$

Now, let's solve for $x$.

$60 = 30x$

Dividing both sides by 30:

$x = \frac{60}{30} = 2 \, \text{cm}$

Thus, the missing dimension $x$ is 2 cm.

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. What is the formula for the surface area of a rectangular prism?
2. How would the volume change if the height $x$ doubled?
3. What is the total surface area of this prism with the calculated height?
4. How does the volume of a prism compare to that of a cylinder with the same height and base area?
5. How do changes in one dimension (length, width, or height) affect the overall volume?

Tip: For prisms, doubling any dimension will double the volume, but halving it will cut the volume in half.