Surface Area And Volume
Gbogbo ọrọ náà
Once shapes leave the flat page and become solid, two new measurements matter: how much space a solid takes up, and how much surface it has. Volume tells you the capacity of a box, a tank or a tin; surface area tells you how much material wraps it or how much paint covers it. A small family of formulas handles cuboids, prisms, cylinders, spheres, cones and pyramids.
In this lesson you will calculate the volume and surface area of the standard solids, learning how prisms all share one idea (cross-section times length) and how the curved surfaces of cylinders, cones and spheres are found. The key habit is keeping track of units: volume is always cubic and surface area always square, and confusing them is the classic mistake this lesson trains you to avoid.
Ebumnobi
- Carry out calculations and solve problems involving the surface area and volume of a: cuboid prism cylinder sphere pyramid cone.
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Surface 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 cuboid measures 5 cm by 4 cm by 3 cm. What is its volume? A. 12 cm^3 B. 47 cm^3 C. 60 cm^3 D. 94 cm^3 Answer: C
- A cylinder has radius 3 cm and height 10 cm. Using pi = 3.142, what is its volume to 1 d.p.? A. 94.3 cm^3 B. 188.5 cm^3 C. 282.8 cm^3 D. 942.6 cm^3 Answer: C
- A sphere has radius 6 cm. Using pi = 3.142, what is its surface area to 1 d.p.? A. 113.1 cm^2 B. 226.2 cm^2 C. 452.4 cm^2 D. 904.9 cm^2 Answer: C
- A cone has base radius 3 cm and vertical height 4 cm. Using pi = 3.142, what is its volume to 2 d.p.? A. 12.57 cm^3 B. 37.70 cm^3 C. 113.11 cm^3 D. 150.82 cm^3 Answer: B
- A pyramid has a square base of side 6 cm and vertical height 10 cm. What is its volume? A. 60 cm^3 B. 120 cm^3 C. 180 cm^3 D. 360 cm^3 Answer: B
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Akụkụ akwụkwọ
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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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Surface Area And Volume? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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