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Void volume of a unit cell, or the cell volume from the void volume

This type of question, asked 12 times: 3 May 2023 S2, 4 May 2023 S2, 16 May 2023 S1, 21 Apr 2025 S2, 13 Apr 2026 S2, 17 Apr 2026 S2, 18 Apr 2026 S1, 18 Apr 2026 S2, 19 Apr 2026 S2, 13 May 2026 S2, 15 May 2026 S2, 19 May 2026 S2. All 12 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    3 May 2023 S2

    82
    Find the void volume of bcc unit cell in cm³ if volume of unit cell is 1.5×10−22 cm31.5 \times 10^{-22}\ \text{cm}^3.

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  2. Question 2

    4 May 2023 S2

    64
    Calculate the void volume of simple cubic unit cell if the volume of unit cell is 5.5×10−225.5\times10^{-22} cm³.

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  3. Question 3

    16 May 2023 S1

    73
    Find the void volume of fcc unit cell in cm3^3 if the volume of fcc unit cell is 1.25×10−22 cm31.25 \times 10^{-22}\,\text{cm}^3.

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  4. Question 4

    21 Apr 2025 S2

    55
    Calculate the volume of fcc unit cell in cm3\mathrm{cm^3} if void volume of it is 4.16×10−24 cm34.16 \times 10^{-24}\ \mathrm{cm^3}.

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  5. Question 5

    13 Apr 2026 S2

    19
    A metal crystallizes to form simple cubic unit cell. Calculate the void volume of unit cell. [a=3.36×10−8[a = 3.36 \times 10^{-8} cm]]

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  6. Question 6

    17 Apr 2026 S2

    21
    Calculate the void volume of bcc unit cell if volume of unit cell is 8.0×10−23 cm38.0 \times 10^{-23}\ \mathrm{cm^3}

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  7. Question 7

    18 Apr 2026 S1

    20
    Calculate the void volume in fcc unit cell if total volume of a unit cell is 6.4×10−23 cm36.4 \times 10^{-23}\ \mathrm{cm^3} ?

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  8. Question 8

    18 Apr 2026 S2

    21
    A metal forms fcc structure. Calculate the volume of fcc unit cell in cm3\mathrm{cm^3} if void volume is 1.66×10−23 cm31.66 \times 10^{-23}\ \mathrm{cm^3}.

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  9. Question 9

    19 Apr 2026 S2

    24
    Calculate the total volume of simple cubic unit cell in cm3\mathrm{cm^3} if void volume is 2.0×10−23 cm32.0 \times 10^{-23}\ \mathrm{cm^3}

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  10. Question 10

    13 May 2026 S2

    22
    A metal crystallizes to form fcc unit cells. Calculate the void volume of a unit cell if the edge length of the unit cell is 390390 pm.

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  11. Question 11

    15 May 2026 S2

    17
    Calculate the void volume of a unit cell of polonium metal if the radius of polonium is 190190 pm.

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  12. Question 12

    19 May 2026 S2

    20
    The unit cell of metal is fcc. Calculate the void volume unit cell if the radius of metal atom is 127.3127.3 pm.

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