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CUBECUBE and CUBOIDCUBOID To calculate the sum of edges, length of face/plane diagonal, and diagonal, also area of diagonal plane Created by Cep Andi Alim.

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Presentasi berjudul: "CUBECUBE and CUBOIDCUBOID To calculate the sum of edges, length of face/plane diagonal, and diagonal, also area of diagonal plane Created by Cep Andi Alim."— Transcript presentasi:

1 CUBECUBE and CUBOIDCUBOID To calculate the sum of edges, length of face/plane diagonal, and diagonal, also area of diagonal plane Created by Cep Andi Alim Subarkah for mathlabsky.wordpress.com

2 The sum of Edge The length of face diagonal The length of diagonal The area of diagonal plane A B C D E H F G r cm EXAMPLE 1 EXAMPLE 2

3 A B C D E H F G r cm Look at ∆BAE, ∠ A is right angle. → → → → →

4 A B C D E H F G r cm Look at ∆CAE, ∠ A is right angle. → → → → →

5 A B C D E H F G r cm → → → Look at rectangle ABGH

6 Given a cube with measure of edge is 4 cm. calculate a.The sum of edgesc. The length of diagonal b.The length of face diagonald. The area of diagonal plane The answer: a. The sum of edges → 12 x r = 12 x 4cm = 48 cm

7 The answer: L.O.F.D r r r= 6 cm a. The sum of edges → 12 x r = 12 x 6cm = 72 cm

8 A B C D E H F G l cm w cm h cm The sum of Edge The length of face diagonal The length of diagonal Example 1 Example 2

9 A B C D E H F G l cm w cm h cm Look at ∆CBF, ∠ B is right angle. Look at ∆ABC, ∠ B is right angle.

10 A B C D E H F G l cm w cm h cm Look at ∆CAE, ∠ A is right angle. → → → →

11 The answer : a.The sum of edges : 4 (l + w + h) : 4 ( ) : 4 (25) : 100 cm A B C D E F G H 10 cm 6 cm 9 cm

12 A B C D E F G H 10 cm 6 cm 9 cm

13 Sebuah balok memiliki ukuran rusuk alas 8 cm x 10cm. Jika panjang seluruh rusuk balok adalah 92cm, maka panjang diagonal ruang balok adalah … Jawab Panjang rusuk Seluruh = 92 4 (p + l + t) = 92 4 ( t) = 92 4 (18 + t) = t = 92 : 4 = 23 t= 23 – 18 = 5


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