Diketahui kubus ABCD.EFGH dengan volum 4096cm³

Tentukan panjang rusuk,diagonal sisi dan diagonal ruang!

Diketahui kubus ABCD.EFGH dengan volum 4096cm³

Panjang Rusuk

$sqrt[3]{4096} = 16 : cm$

Diagonal Sisi

${x}^{2} = {16}^{2} + {16}^{2} \ {x}^{2} = 256 + 256 \ {x}^{2} = 512 \ x = sqrt{512} \ x = 16 sqrt{2} : cm$

Diagonal Ruang

${x}^{2} = (16 sqrt{2} )^{2} + {16}^{2} \ {x}^{2} = ({16}^{2} times sqrt{2}^{2} ) + 256 \ {x}^{2} = (256 times 2 )+ 256 \ {x}^{2} = 512 + 256 \ {x}^{2} = 768 \ x = sqrt{768} \ x = 16 sqrt{3} : cm$

SEMOGA BERMANFAAT