Length, Area And Volume
Akopọ
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.
Awọn Afojusun
- 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
Àwòrán ọpọlọ
A ti ṣe àwòrán kókó yìí kí o lè rí bí àwọn èrò ṣe so pọ̀.
Ṣí àwòrán ọpọlọ nínú áàpù
Káàdì ìrántí
Ìdánrawò kíákíá lórí ohun tí wọ́n ń dán wò nínú kókó yìí.
Ṣe ìdánrawò káàdì wọ̀nyí nínú áàpù
Akọ̀wé Ẹ̀kọ́
Àkọsílẹ̀ Ẹ̀kọ́ Pípé wà lórí Ohun Èlò Green Bridge
Gba ohun èlò Green Bridge CBT sórí fóònù tàbí kọ̀mpútà rẹ fún gbogbo ilé ìkàwé IGCSE: ìwé ìdánwò àtijọ́, ìlànà ìdíwọ̀n, àwòrán èrò, káàdì ìkẹ́kọ̀ọ́ àti ẹ̀kọ́ ohùn.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Length, Area And Volume. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- 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
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Solve Geometry Applications: Volume and Surface Area
Find volume and surface area of rectangular solids
"Prealgebra: Solve Geometry Applications: Volume and Surface Area" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/9-6-solve-geometry-applications-volume-and-surface-area. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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Abala ìwé ẹ̀kọ́
Use Properties of Rectangles, Triangles, and Trapezoids
Understand linear, square, and cubic measure
"Prealgebra: Use Properties of Rectangles, Triangles, and Trapezoids" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/9-4-use-properties-of-rectangles-triangles-and-trapezoids. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
Àwọn àjọ mìíràn ló tẹ̀ wọ́n jáde lábẹ́ ìwé àṣẹ ṣíṣí, a sì dá wọn lọ́lá bí wọ́n ṣe béèrè. Àwọn ìjápọ̀ ń ṣí ojú òpó wọn.
Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Length, Area And Volume? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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