Subjects measurement

Unit Conversions Surface Area 207250

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Skip counting in 5's:** The sequence given is 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55. This is a simple arithmetic sequence where each term increases by 5. 2. **Convert ares to square metres:** Recall the conversion: 1 are = 100 m². - For 2 ares: $$2 \times 100 = 200\text{ m}^2$$ - For 3 ares: $$3 \times 100 = 300\text{ m}^2$$ - For 5 ares: $$5 \times 100 = 500\text{ m}^2$$ - For 7 ares: $$7 \times 100 = 700\text{ m}^2$$ 3. **Convert square metres to ares:** Since 1 are = 100 m², to convert m² to ares, divide by 100. - For 200 m²: $$\frac{200}{100} = 2\text{ ares}$$ - For 900 m²: $$\frac{900}{100} = 9\text{ ares}$$ - For 1400 m²: $$\frac{1400}{100} = 14\text{ ares}$$ 4. **Find the surface area of cuboids:** The surface area $S$ of a cuboid with length $l$, width $w$, and height $h$ is given by: $$S = 2(lw + lh + wh)$$ - For the first cuboid (height = 6 cm, length = 4 cm, width = 3 cm): $$S = 2(4 \times 3 + 4 \times 6 + 3 \times 6)$$ $$= 2(12 + 24 + 18)$$ $$= 2(54) = 108\text{ cm}^2$$ - For the second cuboid (height = 8 cm, length = 5 cm, width = 4 cm): $$S = 2(5 \times 4 + 5 \times 8 + 4 \times 8)$$ $$= 2(20 + 40 + 32)$$ $$= 2(92) = 184\text{ cm}^2$$