Geometri Ders 5.7: Bir Küp Problemi
Bir birimlik kenar uzunluğuna sahip bir küp, bazı katsayılar kullanılarak büyütülmüş ve yeni küpler oluşturulmuştur.
Büyütülen küpün hacminin 27 br[sup]3 [/sup]olması için kullanılması gereken katsayı nedir?
Büyütülen küpün hacminin 1000 br[sup]3 [/sup]olması için kullanılması gereken katsayı nedir?
1,001 br[sup]3[/sup] hacminde bir küp oluşturmak için kullanılması gereken katsayıyı tahmin edelim.[br]
7 br[sup]3[/sup] hacminde bir küp oluşturmak için kullanılması gereken katsayıyı tahmin edelim.[br]
Bir nakliye şirketi küp şeklinde kutular üretmektedir. Temel kutularının her bir kenarı 1 cm'dir. Farklı hacimlere sahip yeni kutular inşa etmek için temel kutuyu hangi katsayıyı kullanarak büyüteceklerini bilmek istiyorlar.
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[/img][br][br]Şirket, 8 cm[sup]3[/sup] hacminde bir kutu istiyorsa, kutuyu hangi katsayıyla büyütmeleri gerektiğini hesaplayalım.
Eğer şirket, 10 cm[sup]3[/sup] hacminde bir kutu istiyorsa, kutuyu yaklaşık olarak hangi katsayıyla büyütmeleri gerektiğini hesaplayalım.[br]
Şirket, hacim (x) ve katsayı (y) arasındaki ilişkiyi analiz etmeye yardımcı olması için bir grafik oluşturmaya karar verir. Tabloyu tamamlayın, gerektiğinde değerleri yuvarlayabilirsiniz. Dilerseniz, tablonun altındaki uygulamayı kullanabilirsiniz.
Noktaları çizin ve ardından onları düzgün bir eğri oluşturacak şekilde birleştirin.
Bir katsayı ile büyütülen kutunun hacmi arasındaki ilişkiyi açıklayan bir denklem yazalım.
Şirket, 21 br[sup]3[/sup] hacminde bir kutu inşa ettikten sonra, bir sonraki kutunun hacmini 25 br[sup]3[/sup] olarak belirler. Bu iki büyütülmüş kutu arasındaki katsayıyı tahmin etmek için grafiği kullanalım.
1 br[sup]3[/sup] hacminde bir kutu ile 5 br[sup]3[/sup] hacminde bir kutu arasındaki katsayıyı tahmin etmek için grafiği kullanalım.
[size=150]Bir hükümet kuruluşu, Dünya'nın yörüngesinde dönen bir uydu veya nesneyi yeniden tasarlıyor. Uydunun yüzeyi, uydunun enerjisini sağlayan Güneş panelleri ile kaplanmıştır. Uydunun içi bilimsel cihazlarla doludur. Mevcut tasarımda, uydunun yüzey alanı 5.4 m[sup]2 [/sup]ve hacmi 1.2 m[sup]3[/sup]tür.[/size][br]Kurum, uyduya daha fazla enerji üretebilmesi için yüzey alanını 21.6 m[sup]2[/sup]ye çıkarmak istiyorsa, uyduyu büyütürken kullanılması gereken katsayıyı hesaplayalım.
Eğer kurum, daha fazla bilimsel cihaz sığdırmak için hacmi 4.05 m[sup]3[/sup] olarak artırmak istiyorsa, uyduyu hangi katsayıyla büyütmeleri gerektiğini hesaplayalım.
Etkinlikte uyduyu, yüzey alanının m[sup]2[/sup] sayısı hacmin m[sup]3[/sup] sayısına eşit olacak şekilde genişletmek mümkün müdür? Gerekçelerinizi açıklayın ve gösterin.
Geometri Ders 5.7: Bir Küp Problemi - Uygulama
[size=150]8 br[sup]3[/sup] bir hacme sahip bir katı cisim, hacmi V br[sup]3[/sup] olan bir katı elde etmek için k katsayısı ile genişletilir. Her bir verilen hacim için k değerini bulun.[br][br][/size]216 br[sup]3[/sup] için:
1 br[sup]3[/sup] için:
1,000 br[sup]3[/sup] için:
[size=150]Bir katının hacmi 7 br[sup]3[/sup]. [math]k=\sqrt[3]{\frac{V}{7}}[/math] denklemi, katının hacmini V br[sup]3[/sup] olan bir görüntü elde etmek için katının genişletildiği k katsayıyı temsil eder. [size=150]Aşağıda verilen noktalardan bu denklemi temsil eden grafiğin üzerinde olanların [b]hepsini[/b] işaretleyiniz.[/size][/size][br]
Yüzey alanı 8 br[sup]2[/sup] olan bir katı, yüz ölçümü A br[sup]2[/sup] olan bir katı elde etmek için k katsayısı ile genişletilir. Her bir verilen yüzey alanı için k değerini bulun.[br][br]512 br[sup]2[/sup]:
[math]\frac{1}{2}[/math] br[sup]2[/sup]
8 br[sup]2[/sup]
[size=150]Küp şeklinde küçük bir kutunun 6 yüzünün tamamını kaplamak için bir hediye pakedinin [math]\frac{1}{8}[/math]'i gerekmektedir ve kutunun hacmi 10 br[sup]3[/sup]tür. [/size][size=150]Kutunun boyutlarının 3 katına çıktığını varsayalım[br][br][/size]Bu durumda elde edeceğimiz yeni küpün 6 yüzeyinin tamamını kaplamak için kaç rulo ambalaj kağıdı gerekir?
Oluşan yeni kutunun hacmi ne olur?
8 br[sup]3[/sup] hacme sahip bir katı cisim k katsayısıyla genişletilirse oluşacak yeni cismin her bir k değeri için sahip olacağı hacim değerini bulunuz.[br][br][math]k=\frac{1}{2}[/math]
[math]k=0.6[/math]
[math]k=1[/math]
[math]k=1.5[/math]
[size=150]9 br[sup]2[/sup] alana sahip bir şekil veriliyor.[math]y=\sqrt{\frac{x}{9}}[/math] denklemi, x br[sup]2 [/sup]alana sahip bir görüntü elde etmek için cismin genişletilmesi gereken katsayıyı (y) temsil eder. Aşağıda verilen noktalardan bu denklemi temsil eden grafiğin üzerinde olanların [b]hepsini[/b] işaretleyiniz.[/size]
[size=150]Nazlı, okul gazetesini düzenliyor. Yaklaşan okul oyununun bir afişinin fotoğrafını basmayı planlıyor. Orijinal afişin alanı 576 m[sup]2 [/sup]ve Nazlı'nın bastığı resim, afişin [math]\frac{1}{4}[/math] katsayısı ile genişletilmiş bir versiyonu olacak.[/size][br][br]Buna göre gazetedeki oyun resminin alanı ne olacaktır?[br]
[size=150][math]S[/math] açısının 90[math]^\circ[/math] ve [math]T[/math] açısının ölçüsü 45[math]^\circ[/math] dir. [math]ST[/math] kenarının uzunluğu 90 cm'dir.[/size][size=150] Buna göre [math]SU[/math]kenarının uzunluğu nedir?[br][/size]