Mathata le ditharollo mabapi le Phetoho ya diyuniti – mathata le ditharollo
1. Halofo ea lithara ea lebese le foreshe le tsoakiloeng le soso ea pudding, joale ke bokae ba lebese bo lokelang ho kenngoa ka sosong ea pudding…
A. 5000 ml
B. 500 cc
C. 50 dm 3
D. 5 m 3
Tse tsejoang:
Bongata ba lebese = lilithara tse 0.5
Ho batloa : 0.5 lithara = ….. ml = ….. cm 3 (cc) = ….. dm 3 = ….. m 3
Tharollo:
Litara e le 1 = 1000 milliliters (1000 ml)
Litara e le 1 = 0.001 m 3 = 1 dm 3 = 1000 cm 3 (1000 cc)
Lithara tse 0.5 = (0.5)(1000 ml) = 500 ml
0.5 dm 3 = (0.5)(1000 cc) = 500 cc
Lithara tse 0.5 = 0.5 dm 3 = 0.0005 m 3
Karabo e nepahetseng ke B.
2. Haeba ka hare ho dimililithara tse 100 tsa lebese le metsi ho kentswe 250 cc ya metsi, jwale ho hlahiswa metswako e mekae.
A. 12.5 dm3
B. 1.25 dm 3
C. 3.5 dm 3
D. 0.35 dm 3
Tse tsejoang:
Bongata ba lebese = 100 ml
Bophahamo ba metsi = 250 cc = 250 cm 3
Ho batloa : 100 ml + 250 cc = ….. dm 3
Tharollo:
ml = mililithara
cc = cm 3 = disenthimithara tse dikhubu
dm 3 = mithara ea li-cubic deci
1 dm 3 = litara e le 1 = dimililithara tse 1000 e le hore dimililithara tse 100 = dilitara tse 100/1000 = 1/10 litara = litara e 0.1 = 0.1 dm 3
1 dm 3 = 1000 cm 3 e le hore 250 cm 3 = 250/1000 dm 3 = 1/4 dm 3 = 0.25 dm 3
100 ml + 250 cm 3 = 0.1 dm 3 + 0.25 dm 3 = 0.35 dm 3
Karabo e nepahetseng ke D.
3. Phaposi ya borutelo e bolelele ba 10 m le bophara ba yona e le 8 m, e sebedisang ceramic e le mokatong wa yona . Boholo ba ceramic ke 20 cm x 20 cm. Palo ya ceramics fatshe ka phapusing ke….
A. 20
B. 200
C. 2000
D. 20000
Tse tsejoang:
Boholo ba kamore:
Bolelele = limithara tse 10
Bophara = limithara tse 8
Sebaka sa kamore = 10 mx 8 m = 80 m2
Boholo ba letsopa:
Bolelele = 20 cm
Bophara = 20 cm
Sebaka sa letsopa = 20 cm x 20 cm = 400 cm 2
Ho batloa: Palo ea li-ceramic tse sebelisoang e le fatše
Tharollo:
1 m = 100 cm,
1 m 2 = 10,000 cm 2
Kahoo 80 m 2 = 80 x 10,000 cm 2 = 800,000 cm 2
Palo ea liseramike = sebaka sa kamore / sebaka sa seramike
Palo ea liseramike = 800,000 cm 2 / 400 cm 2
Palo ea liseramike = 2000
Karabo e nepahetseng ke C.
4. Motsotsoana o mong le o mong metsi a ka etsang 4 cc a ne a rotha ho tloha ka tankeng ea metsi a ka metsing a kenang ka setshelong sa lilithara tse 5. Setshelo se tlala ka botlalo nakong ea metsotsoana e ……..
A. Metsotsoana e 125
B. metsotsoana e 200
C. metsotsoana e 1250
D. Metsotsoana e 2000
Tse tsejoang:
Litara e le 1 = 1 dm 3 = 1000 cm 3
Bophahamo ba metsi = 4 cc = 4 cm 3
Bophahamo ba setshelo = lilithara tse 5 = 5 dm 3 = 5 x 1000 cm 3 = 5000 cm 3
Ho batloa: Nako e setseng setshelo se tlatswa ka metsi
Tharollo:
5000 cm 3 / 4 cm 3 = metsotsoana e 1250
Karabo e nepahetseng ke C.
5. Mme o rekile metsi a nooang lilithara tse 2 (galone e le 1 = lilithara tse 19) ka theko ea $2 . Haeba bophahamo ba kopi ea metsi e le 200 ml, joale fumana theko ea kopi ea metsi.
Tse tsejoang:
1 galone = 19 lilithara
Ligalone tse 2 = lilithara tse 2 x 19 = lilithara tse 38
Litara e le 1 = dimililithara tse 1000
Lilithara tse 38 = 38 x 1000 milliliters = 38,000 milliliters
Khalase e le 'ngoe ea metsi = 200 milliliters
Ho batloa: Theko ea kopi ea metsi
Tharollo:
Ligalone tse 2 tsa metsi = lilithara tse 38 = mililithara tse 38,000
Kopi e le 'ngoe ea metsi = 200 milliliters
38,000 ml / 200 ml = 190
Ka lilithara tse 2 tsa metsi ho na le likopi tse 190 tsa metsi.
Theko ea lilithara tse 2 tsa metsi = $2
Theko ea kopi e le 'ngoe ea metsi = $2 / 190 = $0.01
1. Bothata: Fetola dikhilomitara tse 50 ho ba dimaele. (maele e le 1 ≈ 1.60934 km)
Tharollo: 50 km × (1 maele/1.60934 km) = 31.07 dimaele.
2. Bothata: U na le lilithara tse 2 tsa metsi. Ke limililithara tse kae tseo? (lithara e le 1 = limililithara tse 1,000)
Tharollo: Lithara tse 2 × 1,000 ml/litara = 2,000 ml.
3. Bothata: Lesea le boima ba liponto tse 8 le li-ounces tse 5. Fetola sena ho ligrama. (ponto e 1 = ligrama tse 453.59237 le ounce e 1 = ligrama tse 28.3495)
Tharollo: liponto tse 8 × 453.59237 g/ponto + 5 ounces × 28.3495 g/ounce = 3,628.73896 digrama + 141.7475 digrama = 3,770.48646 digrama.
4. Bothata: Tanka e boloka lilithara tse 100 tsa metsi. Fetola sena hore e be lilithara. (lilithara tse 1 ≈ 3.78541)
Tharollo: Ligalone tse 100 × Lithara tse 3.78541/galone = Lithara tse 378.541.
5. Bothata: Fetolela disentimitara tse 250 ho ba dimithara. (disentimitara tse 100 = mithara e le 1)
Tharollo: 250 cm ÷ 100 cm/mithara = 2.5 metres.
6. Bothata: Koloi e tsamaea ka lebelo la lik'hilomithara tse 55 ka hora. Fetola lebelo lena ho ba maoto ka motsotsoana. (maele e le 'ngoe = maoto a 5,280 le hora e le 'ngoe = metsotsoana e 3,600)
Tharollo: dimaele tse 55 × maoto a 5,280/maele ÷ metsotsoana e 3,600 = maoto a 81.78/motsotswana.
7. Bothata: Risepe e hloka ligrama tse 200 tsa tsoekere. Fetola sena ho li-ounces. (1 ounce ≈ ligrama tse 28.3495)
Tharollo: 200 grams × (1 ounce/28.3495 grams) = 7.055 ounces.
8. Bothata: Kamore e na le sebaka sa limithara tse lisekoere tse 300. Fetola sena ho limithara tse lisekoere. (1 square foot ≈ 0.092903 square metres)
Tharollo: Limithara tse lisekoere tse 300 × Limithara tse lisekoere tse 0.092903/limithara tse lisekoere = Limithara tse lisekoere tse 27.8709.
9. Bothata: O na le thapo e bolelele ba lisenthimithara tse 150. Fetola sena hore e be dijarete. (jarete e le 1 = lisenthimithara tse 36)
Tharollo: lisenthimithara tse 150 ÷ lisenthimithara tse 36/jarete = 4.1667 jarete.
10. Bothata: Botlolo e na le dimililithara tse 500 tsa oli. Fetola sena ho dilithara. (lithara tse 1 ≈ 946.353 dimililithara)
Tharollo: 500 milliliters × (1 quart/946.353 milliliters) = 0.5283 quarts.
