Mathematics Specification B - 4MB1 PearsonEdexcel

Length, Area And Volume

Bayani Gaba-gaba

Every tank that needs filling, every field that needs fencing and every silo that needs building starts with the same question: how much space does this shape take up, or how far around it does a boundary run? This topic collects the area formulas for flat shapes, the length and area formulas for a slice of a circle, and the volume formulas for the solids that appear again and again on both 4MB1 papers.

You will practise choosing the right formula for a composite shape built from simpler pieces, work with arc length and sector area as fractions of a full circle, and calculate the volumes of cuboids, prisms, cylinders, pyramids, cones and spheres. Along the way you will see exactly why a pyramid's volume is one third of the prism with the same base and height, rather than simply being told to accept it.

Manufura

  1. Calculate length, area and volume
  2. Calculate areas of two-dimensional shapes including rectangle, parallelogram, trapezium, triangle, circle and composite shapes
  3. Calculate volumes of three-dimensional shapes including right circular cylinder, right circular cone, sphere, cuboid, pyramid, prism and composite shapes
  4. Calculate length of an arc and area of a sector of a circle

Takardar Darasi

Six area formulas cover almost every flat shape 4MB1 asks about directly, and every composite shape is built by adding or subtracting combinations of them.

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Nazarin Darasi

Barka da kammala darasi akan Length, Area And Volume. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. A trapezium has parallel sides of 10 cm and 16 cm, and a perpendicular height of 7 cm. What is its area? A) 91 cm^2 B) 112 cm^2 C) 70 cm^2 D) 182 cm^2 Answer: A
  2. A sector has radius 9 cm and angle 40 degrees at the centre. What is its area, in terms of pi? A) 9pi cm^2 B) 4pi cm^2 C) 8.1pi cm^2 D) 81pi cm^2 Answer: A
  3. A cylinder has radius 3 cm and height 7 cm. What is its volume, in terms of pi? A) 21pi cm^3 B) 63pi cm^3 C) 147pi cm^3 D) 42pi cm^3 Answer: B
  4. A cone has base radius 5 cm and height 12 cm. What is its volume, in terms of pi? A) 100pi cm^3 B) 300pi cm^3 C) 60pi cm^3 D) 1080pi cm^3 Answer: A
  5. A sphere has radius 3 cm. What is its volume, in terms of pi? A) 12pi cm^3 B) 27pi cm^3 C) 36pi cm^3 D) 108pi cm^3 Answer: C

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Cikakkiyar bayanan darasi tare da zane-zane
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Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

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