估算答案（10岁以上）
Estimating answers (age 10+)
通过用单位立方体填满直角棱柱来求体积，并说明这样得到的结果等于长 × 宽 × 高（或底面积 × 高）；运用 V = 长 × 宽 × 高 和 V = 底面积 × 高 解决实际问题；会用立方厘米（cm³）、立方米（m³）等标准单位计算、估算和比较正方体与长方体的体积。
Find the volume of right rectangular prisms by packing with unit cubes and show it equals l × w × h (or base area × height); apply V = l × w × h and V = B × h to solve real-world problems; calculate, estimate, and compare volumes of cubes and cuboids in standard units (cm³, m³)
学习证据 / Evidence
- 用 V = 长 × 宽 × 高 求长方体体积：4厘米 × 3厘米 × 5厘米 = 60立方厘米。
- 解释为什么用单位立方体填满棱柱得到的体积，与把棱长相乘的结果相同。
- 比较两个长方体的体积，并判断哪一个容量更大。
- Use V = l × w × h to find the volume of a cuboid 4 cm × 3 cm × 5 cm = 60 cm³
- Explain why packing a prism with unit cubes gives the same result as multiplying edge lengths
- Compare volumes of two cuboids and identify which has greater capacity
评估问题 / Assessment
如果{{name}}想知道一个长40厘米、宽20厘米、深15厘米的种植箱能装多少土壤，能用公式计算体积吗？
If {{name}} wants to work out how much soil fits in a plant box that is 40 cm long, 20 cm wide, and 15 cm deep, can they use a formula to calculate the volume?