Sebuah kubus memiliki diagonal ruang 8√3, tentukan luas permukaan dan volume Sebuah kubus memiliki diagonal sisi 7√2, tentukan luas permukaan dan volume

<p>Jawaban :</p><p>1. Kubus diagonal ruang = 8√3</p><p>&nbsp; &nbsp; &nbsp;Diagonal ruang = s√3</p><p>&nbsp; &nbsp; &nbsp;Panjang sisi kubus (panjang rusuk) = 8&nbsp;</p><p>&nbsp; &nbsp; &nbsp;L = 6 x s²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 x 8²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 x 64</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 384 satuan luas</p><p>&nbsp; &nbsp; V = s³</p><p>&nbsp; &nbsp; &nbsp; &nbsp; = 8 x 8 x 8&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; = 512 satuan volume</p><p>&nbsp;</p><p>2. Kubus diagonal sisi = 7√2</p><p>&nbsp; &nbsp; &nbsp;Diagonal sisi = s√2</p><p>&nbsp; &nbsp; &nbsp;Panjang sisi kubus (panjang rusuk) = 7</p><p>&nbsp; &nbsp; &nbsp;L = 6 x s²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 x 7²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 x 49</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 294 satuan luas</p><p>&nbsp; &nbsp; V = s³</p><p>&nbsp; &nbsp; &nbsp; &nbsp; = 7 x 7 x 7&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; = 343 satuan volume</p>