Pertanyaan

Jumlah luas seluruh permukaan kubus yang panjang diagonal bidangnya 8 cm adalah .…

128 cm²
192 cm²
256 cm²
384 cm²

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Panjang diagonal sisi = 8 Luas permukaan kubus.

Panjang diagonal sisi = 8

$table attributes columnalign right center left columnspacing 0px end attributes row cell D b end cell equals cell s square root of 2 end cell row s equals cell fraction numerator D b over denominator square root of 2 end fraction end cell row s equals cell fraction numerator 8 over denominator square root of 2 end fraction c m end cell end table$

Luas permukaan kubus.

$table attributes columnalign right center left columnspacing 0px end attributes row L equals cell 6 cross times s squared end cell row blank equals cell 6 cross times open parentheses fraction numerator 8 over denominator square root of 2 end fraction close parentheses squared end cell row blank equals cell 6 cross times 64 over 2 end cell row blank equals cell 192 space c m squared end cell end table$