Penjelasan dengan langkah-langkah:
1) s = √144
s = 12 cm
½s = 6 cm
t∆ = 10 cm
tinggi limas = √(t∆² – ½s²)
= √(10²–6²)
= √(100–36)
= √64
= 8 cm
Volume = Luas alas x tinggi limas
3
Volume = 144 x 8
Volume = 48 x 8
2) sisi miring alas = √(9² + 40²)
= √(81 + 1.600)
= √1.681
= 41 cm
Panjang kerangka Prisma = 2x(9+40+41) + 3 x 100
= 2 x 90 + 300
= 480 cm
= 4,8 meter
Anggaran yang harus Yusuf persiapkan
= 4,8 x 50.000
Panjang sisi alas limas ( persegi ) :
L = s²
144 = s × s
s² = √144 cm
-----
Tinggi limas :
• = 10 cm² - ( 12 cm ÷ 2 )²
• = 10 cm² - 6 cm²
• = 100 cm - 36 cm
• = 64 cm
• = √64 cm
• = 8 cm
Volume limas :
v = ⅓ × luas alas × tinggi
v = ⅓ × 144 cm × 8 cm
v = ⅓ × 1.152 cm
v = 384 cm³
Opsi C.
Sisi miring pada alas prisma :
• = 9 cm² + 40 cm²
• = 81 cm + 1.600 cm
• = 1.681 cm
• = √1.681 cm
• = 41 cm
------
Panjang Kerangka Prisma :
• = 2 × ( a + b + c )
• = 2 × ( 9 + 40 + 41 )
• = 2 × 90 cm
• = 180 cm + 3 × 100 cm
• = 180 cm + 300 cm
• = 480 cm
• = 480 cm ÷ 100
• = 4,8 m
Besar Anggaran :
• = panjang kerangka × harga kawat besi
• = 4,8 m × Rp50.000
• = Rp240.000
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Penjelasan dengan langkah-langkah:
1) s = √144
s = 12 cm
½s = 6 cm
t∆ = 10 cm
tinggi limas = √(t∆² – ½s²)
= √(10²–6²)
= √(100–36)
= √64
= 8 cm
Volume = Luas alas x tinggi limas
3
Volume = 144 x 8
3
Volume = 48 x 8
Volume = 384 cm³
2) sisi miring alas = √(9² + 40²)
= √(81 + 1.600)
= √1.681
= 41 cm
Panjang kerangka Prisma = 2x(9+40+41) + 3 x 100
= 2 x 90 + 300
= 480 cm
= 4,8 meter
Anggaran yang harus Yusuf persiapkan
= 4,8 x 50.000
= Rp. 240.000,00
Nomor 1
Panjang sisi alas limas ( persegi ) :
L = s²
144 = s × s
s² = √144 cm
s = 12 cm
-----
Tinggi limas :
• = 10 cm² - ( 12 cm ÷ 2 )²
• = 10 cm² - 6 cm²
• = 100 cm - 36 cm
• = 64 cm
• = √64 cm
• = 8 cm
-----
Volume limas :
v = ⅓ × luas alas × tinggi
v = ⅓ × 144 cm × 8 cm
v = ⅓ × 1.152 cm
v = 384 cm³
Opsi C.
____________________________
Nomor 2
Sisi miring pada alas prisma :
• = 9 cm² + 40 cm²
• = 81 cm + 1.600 cm
• = 1.681 cm
• = √1.681 cm
• = 41 cm
------
Panjang Kerangka Prisma :
• = 2 × ( a + b + c )
• = 2 × ( 9 + 40 + 41 )
• = 2 × 90 cm
• = 180 cm + 3 × 100 cm
• = 180 cm + 300 cm
• = 480 cm
• = 480 cm ÷ 100
• = 4,8 m
Besar Anggaran :
• = panjang kerangka × harga kawat besi
• = 4,8 m × Rp50.000
• = Rp240.000