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Find the missing part of the prism, given its volume.

 



V = 60 cm3

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.

Find the missing part of the prism, given its volume. V = 60 cm³.

Learn how to calculate the missing height of a rectangular prism given its volume of 60 cm³, width of 2 cm, and length of 15 cm. Follow a step-by-step solution to find the unknown height using the formula for the volume of a prism. Suitable for students in Grades 6-8.

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