Soal Latihan Matematika Bangun Ruang 2

Tentukan volume dan luas bangun ruang di bawah ini! 

1. Prisma segitiga

Jawab : 

V = luas alas x tinggi prisma

= (½ x a x t) x tp

= (½ x 6 x 8) x 24

= (3 x 8) x 24

= 24 x 24 

= 576 cm³

              

Lp = (2 x luas alas) + (keliling alas x tinggi prisma)

= (2 x 24) + ((6+8+12) x 24)

= 48 + (26 x 24)

= 48 + 624

= 672 cm²

2. Tabung

    Jawab : 

V = ᴫ x r² x t

= 3,14 x 25 x 12

= 78,5 x 12

= 942 cm³

Lp = 2 x ᴫ x r x (r + t)

= 2 x 3,14 x 5 x (5 + 12)

= 3,14 x 10 x 17

= 31,4 x 17 = 533,8 cm²

3. Kerucut

Jawab : 

V = ⅓ x luas alas x tinggi kerucut

= ⅓ x (ᴫ x r²) x t

= ⅓ x (22/7 x 49) x 24

= 22 x 7 x 8

= 1.232 cm³

Lp = ᴫ x r x (r + s)

= 22/7 x 7 x (7 + 25)

= 22 x 32 = 704 cm²

4. Limas

Jawab : 

V = ⅓ x luas alas x tinggi limas

= ⅓ x (12 x12) x 14

= 4 x 12 x 14

= 672 cm³

Lp = (4 x luas sisi tegak) + (luas alas limas)

= (4 x  (½ x 12 x 16)) + (12 x 12)

= (4 x 6 x 16) + 144

= 384 + 144 = 528 cm²

5. Balok

Jawab : 

V = p x l x t

= 15 x 8 x 10

= 1.200 cm³

Lp = 2 x (pxl + pxt + lxt)

= 2 x (15x8 + 15x10 + 8x10)

  = 2 x (120 + 150 + 80)

  = 2 x 350

  = 700 cm²

6. Kubus

Jawab : 

V = r³    (r = rusuk)

= 9³ = 729 cm³

Lp = 6 x r²

= 6 x 81

= 486 cm²