Mensuration Basics
1. The problem is to understand and solve typical mensuration questions, which involve calculating areas, volumes, and surface areas of geometric shapes.
2. For example, if we want to find the area of a rectangle with length $l$ and width $w$, the formula is:
$$\text{Area} = l \times w$$
3. To calculate the volume of a cylinder with radius $r$ and height $h$, use:
$$\text{Volume} = \pi r^2 h$$
4. For the surface area of a sphere with radius $r$:
$$\text{Surface Area} = 4 \pi r^2$$
5. These formulas help in solving mensuration problems by substituting the given values and performing calculations step-by-step.
6. As a specific example, to find the volume of a cylinder with radius 3 and height 5:
$$\text{Volume} = \pi \times 3^2 \times 5 = \pi \times 9 \times 5 = 45\pi$$
7. This is approximately $141.37$ (using $\pi \approx 3.1416$).
8. Remember to always write down the formula first, then substitute the values, simplify step-by-step, and finally compute the answer.