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The capacity of the container is 180 litres. Find the value of p.

Mathematics

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Answer

90 cm\text{90 cm}

Step-by-step solution

4 steps

Huu hapa ni ufumbuzi wa tatizo lako:

  1. Badilisha ujazo kutoka lita kwenda sentimita za ujazo.

    Tunajua kuwa 1 lita=1000 cm31 \text{ lita} = 1000 \text{ cm}^3.
    Ujazo wa kontena ni 180 lita180 \text{ lita}.

    180 lita=180×1000 cm3=180000 cm3180 \text{ lita} = 180 \times 1000 \text{ cm}^3 = 180000 \text{ cm}^3
  2. Andika fomula ya ujazo wa mchemraba (cuboid).

    Ujazo VV wa mchemraba hutolewa na fomula:

    V=urefu×upana×kimoV = \text{urefu} \times \text{upana} \times \text{kimo}

    Kutoka kwenye mchoro, tuna:
    Urefu =40 cm= 40 \text{ cm}
    Upana =p cm= p \text{ cm}
    Kimo =50 cm= 50 \text{ cm}

  3. Badilisha vipimo kwenye fomula ya ujazo na usawazishe na ujazo uliotolewa.

    V=40 cm×p cm×50 cmV = 40 \text{ cm} \times p \text{ cm} \times 50 \text{ cm} V=(40×50×p) cm3V = (40 \times 50 \times p) \text{ cm}^3 V=2000p cm3V = 2000p \text{ cm}^3

    Sasa, sawazisha ujazo huu na ujazo uliopatikana katika Hatua ya 1:

    2000p=1800002000p = 180000
  4. Tatua kwa pp.

    Gawanya pande zote mbili kwa 2000:

    p=1800002000p = \frac{180000}{2000} p=180020p = \frac{1800}{20} p=1802p = \frac{180}{2} p=90p = 90

    Kwa hiyo, thamani ya pp ni 90 cm90 \text{ cm}.

    Thamani ya pp ni:

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