Compound Shapes And Parts Of Shapes
Bayani Gaba-gaba
Real objects are rarely a single neat rectangle or circle. An L-shaped room, a running track, a washer with a hole in it: these are compound shapes, built from simpler shapes joined together or cut apart. The good news is that you already know all the formulas you need. The skill is deciding how to split the shape and whether to add or subtract.
In this lesson you will find the area of compound shapes by splitting them into known shapes and adding the parts, and the area of shapes with a piece removed by subtracting. The same add-and-subtract thinking extends to compound solids and their volumes. Master the splitting strategy and even awkward-looking shapes become a short, tidy calculation.
Manufura
- Carry out calculations and solve problems involving perimeters and areas of: compound shapes parts of shapes.
- Carry out calculations and solve problems involving surface areas and volumes of: compound solids parts of solids.
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Barka da kammala darasi akan Compound Shapes And Parts Of Shapes. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- An L-shape splits into a rectangle 8 cm by 2 cm and a rectangle 3 cm by 4 cm. What is its total area? A. 17 cm^2 B. 24 cm^2 C. 28 cm^2 D. 48 cm^2 Answer: C
- A circle of radius 3 cm is cut from a square of side 10 cm. Using pi = 3.142, what is the area remaining to 2 d.p.? A. 28.28 cm^2 B. 71.72 cm^2 C. 90.58 cm^2 D. 100.00 cm^2 Answer: B
- A compound solid is a cuboid 5 cm by 4 cm by 3 cm with a cuboid 2 cm by 2 cm by 3 cm on top. What is its volume? A. 60 cm^3 B. 72 cm^3 C. 84 cm^3 D. 120 cm^3 Answer: B
- What is the best first step when finding the area of a compound shape? A. Square the longest side B. Split it into simpler shapes you can calculate C. Multiply all the given lengths together D. Add up every length given Answer: B
- A washer is a circle of radius 5 cm with a circle of radius 2 cm removed from its centre. Using pi = 3.142, what is its area to 2 d.p.? A. 12.57 cm^2 B. 65.98 cm^2 C. 78.55 cm^2 D. 91.12 cm^2 Answer: B
Yi aikin wadannan tambayoyi a cikin manhaja
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Ƙarin koyo daga tushe na buɗe
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Sashen littafi
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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