Roboguru

Tentukan luas permukaan dan volume bangun ruang gabungan berikut.

Tentukan luas permukaan dan volume bangun ruang gabungan berikut.

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Luas space balok space tanpa space atap end cell equals cell 2 left parenthesis p t plus l t right parenthesis plus p l end cell row blank equals cell 2 left parenthesis 10 cross times 6 plus 4 cross times 6 right parenthesis plus 10 cross times 4 end cell row blank equals cell 2 left parenthesis 60 plus 24 right parenthesis plus 40 end cell row blank equals 208 row blank blank blank row cell t subscript italic 1 end cell equals cell square root of 5 squared plus 6 squared end root end cell row blank equals cell square root of 25 plus 36 end root end cell row blank equals cell square root of 61 end cell row cell t subscript italic 2 end cell equals cell square root of 2 squared plus 6 squared end root end cell row blank equals cell square root of 4 plus 36 end root end cell row blank equals cell square root of 40 end cell row blank equals cell 2 square root of 10 end cell row blank blank blank row cell Luas space limas space tanpa space alas end cell equals cell 2 open parentheses 1 half cross times a subscript italic 1 italic cross times t subscript italic 1 close parentheses plus 2 open parentheses 1 half cross times a subscript italic 2 italic cross times t subscript 2 close parentheses end cell row blank equals cell 10 cross times square root of 61 plus 4 cross times 2 square root of 10 end cell row blank equals cell 10 square root of 61 plus 8 square root of 10 end cell row blank blank blank row cell Luas space gabungan end cell equals cell open parentheses 208 plus 10 square root of 61 plus 8 square root of 10 space close parentheses space cm squared end cell row blank blank blank row cell Volume space balok end cell equals cell p cross times l cross times t end cell row blank equals cell 10 cross times 4 cross times 6 end cell row blank equals 240 row cell Volume space limas end cell equals cell 1 third cross times p cross times l cross times t apostrophe end cell row blank equals cell 1 third cross times 10 cross times 4 cross times 6 end cell row blank equals 80 row blank blank blank row cell Volume space gabungan end cell equals cell 240 plus 80 end cell row blank equals cell 320 space cm cubed end cell row blank blank blank end table end style

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