Length, Area And Volume
Gbogbo ọrọ náà
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.
Ebumnobi
- Calculate length, area and volume
- Calculate areas of two-dimensional shapes including rectangle, parallelogram, trapezium, triangle, circle and composite shapes
- Calculate volumes of three-dimensional shapes including right circular cylinder, right circular cone, sphere, cuboid, pyramid, prism and composite shapes
- Calculate length of an arc and area of a sector of a circle
Akọmọ Ojú-ẹkọ
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ayẹwo Ẹkọ
Ekele diri gi maka imecha ihe karịrị na Length, Area And Volume. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- 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
- 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
- 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
- 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
- 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
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Àwọn Ìwé Tó Dáa Láti Kà
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Length, Area And Volume? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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