Compound Shapes And Parts Of Shapes
Muhtasari
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.
Malengo
- 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.
Maelezo ya Somo
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Compound Shapes And Parts Of Shapes. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- 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
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Vitabu Vinavyopendekezwa
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Compound Shapes And Parts Of Shapes? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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