Mathematics (US) - 0444 CIE

Surface Area And Volume Of Prisms And Spheres

Gbogbo ọrọ náà

Surface area is the total area of all the faces of a solid; volume is the space it fills. Prisms, cylinders, spheres, pyramids and cones each have their own formulas, and they unlock real questions about capacity, material and packaging.

In this lesson you will calculate the surface area and volume of prisms (including the cuboid and cylinder), spheres, pyramids and cones, using the standard formulas with care over units.

Ebumnobi

  1. Calculate the surface area and volume of prisms (including the cuboid and cylinder), spheres, pyramids and cones.

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

Volume tells you capacity (how much a tank holds); surface area tells you material (how much metal a can needs). Both are essential in design, packaging and engineering.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Surface Area And Volume Of Prisms And Spheres. 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.

  1. The volume of a cylinder is: A. 2 pi r h B. pi r squared h C. four thirds pi r cubed D. pi r squared Answer: B
  2. The volume of a sphere is: A. pi r squared h B. four thirds pi r cubed C. 4 pi r squared D. one third pi r squared h Answer: B
  3. The volume of a cylinder with radius 3 and height 10 (pi = 3.142) is about: A. 94.2 B. 188.5 C. 282.7 D. 90 Answer: C
  4. The surface area of a sphere is: A. four thirds pi r cubed B. 4 pi r squared C. pi r squared D. 2 pi r Answer: B
  5. The volume of a prism is: A. cross-section area x length B. base x height C. pi r squared D. half base height Answer: A

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