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The image contains three math problems:

**13. What is the area of the shaded portion in the rectangle?**
- The rectangle is divided into two triangles.
- The given dimensions are:
  - Base of the triangle (rectangle's width): 27 cm
  - Height of the triangle: 16 cm

The formula for the area of a triangle is:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]

Applying the values:

\[
A = \frac{1}{2} \times 27 \, \text{cm} \times 16 \, \text{cm} = 216 \, \text{cm}^2
\]

Since the shaded area represents half of this triangle, the final answer is:

\[
\boxed{108 \, \text{cm}^2}
\]

**14. Joe, Mah, and Rie share 252 candies in the ratio 3:5:6. How many candies does Mah have?**
- The total ratio parts = 3 + 5 + 6 = 14
- Each part represents \( \frac{252}{14} = 18 \) candies.
- Mah's portion is \( 3 \times 18 = 54 \) candies.

Thus, Mah has \( \boxed{54} \) candies.

**15. A rectangular metal block 27 cm by 9 cm by 6 cm is melted down and recast into two identical smaller cubes. Find the length of each edge of the cubes.**
- The volume of the rectangular block is:

\[
V = 27 \, \text{cm} \times 9 \, \text{cm} \times 6 \, \text{cm} = 1458 \, \text{cm}^3
\]

- Dividing this into two cubes, each cube will have a volume of \( \frac{1458}{2} = 729 \, \text{cm}^3 \).

- The formula for the volume of a cube is \( V = a^3 \), where \( a \) is the edge length. Solving for \( a \):

\[
a = \sqrt[3]{729} = 9 \, \text{cm}
\]

Thus, each cube has an edge length of \( \boxed{9} \, \text{cm} \).

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Would you like any more details on these solutions?

Here are 5 related questions you might want to explore:
1. How do you calculate the area of irregular shapes?
2. How can you divide objects based on different ratios?
3. How do you find the volume of complex 3D shapes?
4. How would the answer change if the metal block were divided into three cubes?
5. What is the formula for calculating the surface area of a cube?

**Tip:** When solving geometry problems, it’s essential to label all dimensions and check for unit consistency!

13. What is the area of the shaded portion in the rectangle? 14. Joe, Mah, and Rie share 252 candies in the ratio 3:5:6. How many candies does Mah have? 15. A rectangular metal block 27cm by 9cm by 6cm is melted down and recast into two identical smaller cubes. Find the length of each edge of the cubes.

Solve problems involving the area of a shaded triangle within a rectangle, distributing candies based on ratios, and finding the edge length of cubes formed by melting a rectangular block. Key concepts include area, volume, and ratio calculations.

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