3D Shapes And Volume
Gbogbo ọrọ náà
Three-dimensional shapes are everywhere: the boxes we pack, the cans on a shelf, the footballs on a pitch. Understanding how to name these solids, count their faces, edges and vertices, and calculate their surface areas and volumes is fundamental to geometry, design, engineering and everyday problem-solving.
This topic covers the properties of common solids (cubes, cuboids, prisms, cylinders, pyramids, cones and spheres), surface area using nets and formulae, volume of prisms using the cross-section method, and metric unit conversions for volume and capacity. Higher tier extends these ideas to the volume and surface area of spheres and cones.
Ebumnobi
- Recognise and give the names of solids
- Understand the terms 'face', 'edge' and 'vertex' in the context of 3D solids
- Find the surface area of simple shapes using the area formulae for triangles and rectangles
- Find the surface area of a cylinder
- Find the volume of prisms, including cuboids and cylinders, using an appropriate formula
- Convert between units of volume within the metric system
- [Higher] Find the surface area and volume of a sphere and a right circular cone using relevant formulae
Akọmọ Ojú-ẹkọ
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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 3D Shapes 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 triangular prism has 5 faces, 9 edges and 6 vertices. Which of the following solids has the same number of faces? A) Cube B) Square-based pyramid C) Tetrahedron D) Hexagonal prism Answer: B
- A cuboid has length 10 cm, width 4 cm and height 3 cm. What is its volume? A) 17 cm cubed B) 120 cm cubed C) 164 cm cubed D) 34 cm cubed Answer: B
- A cylinder has radius 5 cm and height 8 cm. Which expression gives the volume? A) 5 x 5 x 8 B) pi x 5 x 8 C) pi x 25 x 8 D) 2 x pi x 5 x 8 Answer: C
- How many cm cubed are in 1 litre? A) 10 B) 100 C) 1000 D) 10 000 Answer: C
- A sphere has radius 3 cm. Using the formula V = (4/3) x pi x r cubed, what is the volume in terms of pi? A) 12 pi cm cubed B) 36 pi cm cubed C) 108 pi cm cubed D) 27 pi cm cubed Answer: B
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 3D Shapes And Volume? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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