Perimeter, area and volume

邊玩邊學

回答這些題目賺取能量，接著就能釣魚、探索。不需要帳號。

給教育者：為 Perimeter, area and volume（Mathematics、Geometry and measures）準備好可直接使用的課程投影片, 複習筆記——用於你的課程，或把這個主題當成互動班級活動，讓學習者以即時遊戲的方式進行。

課程筆記

Perimeter is the distance around a shape; area is the space inside.
Rectangle: A = lw. Triangle: A = \frac{1}{2}bh. Parallelogram: A = bh. Trapezium: A = \frac{1}{2}(a + b)h.
Circle: circumference C = 2\π r = \π d; area A = \π r².
For compound shapes, split into simple parts and add or subtract.
Use perpendicular height for triangle, parallelogram and trapezium area. Perimeter adds all outside edges; include straight edges when finding a semicircle’s perimeter.

Prism: volume = cross-sectional area × length. Cuboid: V = lwh. Cylinder: V = \π r² h; curved surface area 2\π rh.
Cone: V = \frac{1}{3}\π r² h; curved surface area \π r l (slant height l).
Sphere: V = \frac{4}{3}\π r³; surface area 4\π r². Pyramid: V = \frac{1}{3} \times \text{base area} \times h.
For a closed cylinder, add both circular ends: total surface area = 2πr² + 2πrh. A right cone has total surface area πr² + πrl, with slant height l; an open solid omits its missing faces.
Cylinder and cone formulas here refer to right circular solids. The h in each volume formula is perpendicular height.

Length: cm, m. Area: cm², m². Volume: cm³, m³. 1 m² = 10 000 cm²; 1 m³ = 1 000 000 cm³; 1 litre = 1000 cm³.
Always state the correct units.

Draw and label diagrams, identify the shape, pick the formula, and substitute carefully, giving the answer in an appropriate form (in terms of \π or to 3 s.f.).

Step through every slide for this topic — plus flashcards and revision notes — with a free account.

免費預覽——32 題中的 8 題。註冊即可查看全部。

這個主題的歷屆試題練習即將推出。

即將推出