Hitunglah

<p>Kubus dengan sisi (s) = (4 + 3√3) cm</p><p>&nbsp;</p><p>a. <strong>Mencari luas permukaan (Lp)</strong></p><p>&nbsp; &nbsp; &nbsp;Lp = 6 x s x s</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 x (4 + 3√3) x (4 + 3√3)&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 x (16 + 12√3 + 12√3 + 27)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 x (16 + 24√3 + 27)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 96 + 144√3 &nbsp;+ 162</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (258 + 144√3) cm²&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p><p>b. <strong>Volume Kubus</strong></p><p>&nbsp; &nbsp; &nbsp;V = s x s x s</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (4 + 3√3)(4 + 3√3)(4 + 3√3)&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (4 + 3√3)(16 + 24√3 + 27)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 64 + 96√3 + 108 + 48√3 + 216 + 81√3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (388 + 225√3) cm³</p><p>&nbsp;</p><p>c.<strong> Menentukan Panjang Diagonal Ruang&nbsp;</strong></p><p>&nbsp; &nbsp; &nbsp;Diagonal Ruang = s√3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= &nbsp;(4 + 3√3)√3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4√3 + 9</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (9 + 4√3) cm</p><p>&nbsp;</p><p>d. <strong>Panjang diagonal sisi&nbsp;</strong></p><p>&nbsp; &nbsp; &nbsp;Diagonal sisi = s√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =(4 + 3√3)√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (4√2 + 3√6) cm</p>