两个正方体的棱长比是3:2,这两个正方体的表面积之比是______,体积之比是______.
设大正方体的棱长是3a,则小正方体的棱长为2a,
表面积比为:
(3a×3a×6):(2a×2a×6),
=54a2:24a2,
=54:24,
=9:4;
体积比为:
(3a)3:(2a)3,
=27a3:8a3,
=27:8;
故答案为:9:4,27:8.
两个正方体的棱长比是3:2,这两个正方体的表面积之比是______,体积之比是______.
设大正方体的棱长是3a,则小正方体的棱长为2a,
表面积比为:
(3a×3a×6):(2a×2a×6),
=54a2:24a2,
=54:24,
=9:4;
体积比为:
(3a)3:(2a)3,
=27a3:8a3,
=27:8;
故答案为:9:4,27:8.