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8 parts
a

Volume: 512 m3, Capacity: 512000 L\text{Volume: } 512 \text{ m}^3, \text{ Capacity: } 512000 \text{ L}

b

Volume: 216 m3, Capacity: 216000 L\text{Volume: } 216 \text{ m}^3, \text{ Capacity: } 216000 \text{ L}

c

Volume: 480 m3, Capacity: 480000 L\text{Volume: } 480 \text{ m}^3, \text{ Capacity: } 480000 \text{ L}

d

Volume: 60 m3, Capacity: 60000 L\text{Volume: } 60 \text{ m}^3, \text{ Capacity: } 60000 \text{ L}

e

Volume: 3080 m3, Capacity: 3080000 L\text{Volume: } 3080 \text{ m}^3, \text{ Capacity: } 3080000 \text{ L}

f

Volume: 2156 m3, Capacity: 2156000 L\text{Volume: } 2156 \text{ m}^3, \text{ Capacity: } 2156000 \text{ L}

g

Volume: 1078 m3, Capacity: 1078000 L\text{Volume: } 1078 \text{ m}^3, \text{ Capacity: } 1078000 \text{ L}

h

Volume: 3696 m3, Capacity: 3696000 L\text{Volume: } 3696 \text{ m}^3, \text{ Capacity: } 3696000 \text{ L}

Step-by-step solution

16 steps

Here are the volume and water storage capacity in liters for each container.

Part a· 2 steps

  1. Calculate the volume.

    This is a cube with side length s=8 ms = 8 \text{ m}.

    V=s3=(8 m)3=512 m3V = s^3 = (8 \text{ m})^3 = 512 \text{ m}^3
  2. Calculate the capacity in liters.

    (1 m3=1000 L1 \text{ m}^3 = 1000 \text{ L})

    512 m3×1000 L/m3=512000 L512 \text{ m}^3 \times 1000 \text{ L/m}^3 = 512000 \text{ L}

    Volume: 512 m^3, Capacity: 512000 L

Part b

Volume: 216 m3, Capacity: 216000 L\text{Volume: } 216 \text{ m}^3, \text{ Capacity: } 216000 \text{ L}

  1. Calculate the volume.

    This is a cube with side length s=6 ms = 6 \text{ m}.

    V=s3=(6 m)3=216 m3V = s^3 = (6 \text{ m})^3 = 216 \text{ m}^3
  2. Calculate the capacity in liters.

    216 m3×1000 L/m3=216000 L216 \text{ m}^3 \times 1000 \text{ L/m}^3 = 216000 \text{ L}

    Volume: 216 m^3, Capacity: 216000 L

Part c

Volume: 480 m3, Capacity: 480000 L\text{Volume: } 480 \text{ m}^3, \text{ Capacity: } 480000 \text{ L}

  1. Calculate the volume.

    This is a cuboid with length l=8 ml = 8 \text{ m}, width w=6 mw = 6 \text{ m}, and height h=10 mh = 10 \text{ m}.

    V=l×w×h=8 m×6 m×10 m=480 m3V = l \times w \times h = 8 \text{ m} \times 6 \text{ m} \times 10 \text{ m} = 480 \text{ m}^3
  2. Calculate the capacity in liters.

    480 m3×1000 L/m3=480000 L480 \text{ m}^3 \times 1000 \text{ L/m}^3 = 480000 \text{ L}

    Volume: 480 m^3, Capacity: 480000 L

Part d

Volume: 60 m3, Capacity: 60000 L\text{Volume: } 60 \text{ m}^3, \text{ Capacity: } 60000 \text{ L}

  1. Calculate the volume.

    This is a cuboid with length l=5 ml = 5 \text{ m}, width w=3 mw = 3 \text{ m}, and height h=4 mh = 4 \text{ m}.

    V=l×w×h=5 m×3 m×4 m=60 m3V = l \times w \times h = 5 \text{ m} \times 3 \text{ m} \times 4 \text{ m} = 60 \text{ m}^3
  2. Calculate the capacity in liters.

    60 m3×1000 L/m3=60000 L60 \text{ m}^3 \times 1000 \text{ L/m}^3 = 60000 \text{ L}

    Volume: 60 m^3, Capacity: 60000 L

Part e

Volume: 3080 m3, Capacity: 3080000 L\text{Volume: } 3080 \text{ m}^3, \text{ Capacity: } 3080000 \text{ L}

  1. Calculate the volume.

    This is a cylinder with diameter 14 m14 \text{ m} (radius r=7 mr = 7 \text{ m}) and height h=20 mh = 20 \text{ m}.

    V=πr2h=227×(7 m)2×20 m=227×49 m2×20 m=22×7 m2×20 m=3080 m3V = \pi r^2 h = \frac{22}{7} \times (7 \text{ m})^2 \times 20 \text{ m} = \frac{22}{7} \times 49 \text{ m}^2 \times 20 \text{ m} = 22 \times 7 \text{ m}^2 \times 20 \text{ m} = 3080 \text{ m}^3
  2. Calculate the capacity in liters.

    3080 m3×1000 L/m3=3080000 L3080 \text{ m}^3 \times 1000 \text{ L/m}^3 = 3080000 \text{ L}

    Volume: 3080 m^3, Capacity: 3080000 L

Part f

Volume: 2156 m3, Capacity: 2156000 L\text{Volume: } 2156 \text{ m}^3, \text{ Capacity: } 2156000 \text{ L}

  1. Calculate the volume.

    This is a cylinder with diameter 14 m14 \text{ m} (radius r=7 mr = 7 \text{ m}) and height h=14 mh = 14 \text{ m}.

    V=πr2h=227×(7 m)2×14 m=227×49 m2×14 m=22×7 m2×14 m=2156 m3V = \pi r^2 h = \frac{22}{7} \times (7 \text{ m})^2 \times 14 \text{ m} = \frac{22}{7} \times 49 \text{ m}^2 \times 14 \text{ m} = 22 \times 7 \text{ m}^2 \times 14 \text{ m} = 2156 \text{ m}^3
  2. Calculate the capacity in liters.

    2156 m3×1000 L/m3=2156000 L2156 \text{ m}^3 \times 1000 \text{ L/m}^3 = 2156000 \text{ L}

    Volume: 2156 m^3, Capacity: 2156000 L

Part g

Volume: 1078 m3, Capacity: 1078000 L\text{Volume: } 1078 \text{ m}^3, \text{ Capacity: } 1078000 \text{ L}

  1. Calculate the volume.

    This is a cone with radius r=7 mr = 7 \text{ m} and height h=21 mh = 21 \text{ m}.

    V=13πr2h=13×227×(7 m)2×21 m=13×227×49 m2×21 m=22×7 m2×7 m=1078 m3V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times \frac{22}{7} \times (7 \text{ m})^2 \times 21 \text{ m} = \frac{1}{3} \times \frac{22}{7} \times 49 \text{ m}^2 \times 21 \text{ m} = 22 \times 7 \text{ m}^2 \times 7 \text{ m} = 1078 \text{ m}^3
  2. Calculate the capacity in liters.

    1078 m3×1000 L/m3=1078000 L1078 \text{ m}^3 \times 1000 \text{ L/m}^3 = 1078000 \text{ L}

    Volume: 1078 m^3, Capacity: 1078000 L

Part h

Volume: 3696 m3, Capacity: 3696000 L\text{Volume: } 3696 \text{ m}^3, \text{ Capacity: } 3696000 \text{ L}

  1. Calculate the volume.

    This is a cone with radius r=14 mr = 14 \text{ m} and height h=18 mh = 18 \text{ m}.

    V=13πr2h=13×227×(14 m)2×18 m=13×227×196 m2×18 m=22×28 m2×6 m=3696 m3V = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times \frac{22}{7} \times (14 \text{ m})^2 \times 18 \text{ m} = \frac{1}{3} \times \frac{22}{7} \times 196 \text{ m}^2 \times 18 \text{ m} = 22 \times 28 \text{ m}^2 \times 6 \text{ m} = 3696 \text{ m}^3
  2. Calculate the capacity in liters.

    3696 m3×1000 L/m3=3696000 L3696 \text{ m}^3 \times 1000 \text{ L/m}^3 = 3696000 \text{ L}

    Volume: 3696 m^3, Capacity: 3696000 L

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