Let's solve the questions visible in the uploaded image:

4.1 Find the perimeter of the shape below:

The shape has multiple sides. We calculate the perimeter by summing all the side lengths:

• Sides: $6 \, \text{cm}, 4 \, \text{cm}, 3 \, \text{cm}, 2 \, \text{cm}, 5 \, \text{cm}$.
• Adding them together: $\text{Perimeter} = 6 + 4 + 3 + 2 + 5 = 20 \, \text{cm}.$

Answer: The perimeter is $20 \, \text{cm}$.

4.2 What is the circumference of the circle?

The formula for circumference of a circle is: $\text{Circumference} = 2 \pi r$ Given $r = 6.3 \, \text{m}$: $\text{Circumference} = 2 \pi (6.3) \approx 39.58 \, \text{m}.$

Answer: The circumference is approximately $39.58 \, \text{m}$.

4.5 What is the surface area of this rectangular prism?

The formula for surface area is: $\text{Surface Area} = 2 (lw + lh + wh)$ Given dimensions $l = 6 \, \text{cm}, w = 6 \, \text{cm}, h = 6 \, \text{cm}$: [ \text{Surface Area} = 2 [(6)(6) + (6)(6) + (6)(6)] = 2 [36 + 36 + 36] = 2 (108) = 216 , \text{cm}^2. ]

Answer: The surface area is $216 \, \text{cm}^2$.

4.6 What is the volume of this prism?

The formula for volume is: $\text{Volume} = lwh$ Using the same dimensions: $\text{Volume} = (6)(6)(6) = 216 \, \text{cm}^3.$

Answer: The volume is $216 \, \text{cm}^3$.

Do you want detailed steps or additional clarifications?

Related Questions:

1. How would the perimeter of the shape change if one side increased by $2 \, \text{cm}$?
2. How does the formula for circumference relate to the area of a circle?
3. How would the surface area of the prism change if the height doubled?
4. What is the ratio of surface area to volume in the rectangular prism?
5. Can the dimensions of the rectangular prism be changed to minimize surface area while keeping the volume constant?

Tip:

Always double-check units (e.g., cm, m) to ensure consistency in calculations.