The total surface area of a cube is 294 cm ² work out the volume of the cube

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The total surface area of a cube is 294 cm ² work out the volume of the cube

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Jasmine 3 days 2021-10-11T23:13:40+00:00 2 Answers 0

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    0
    2021-10-11T23:14:49+00:00

    At = 6×L² = 294 cm²

    L² = 294cm²/6

    L² = 49cm²

    L = 7 cm

    V = L³

    = (7cm)³

    = 343 cm³

    0
    2021-10-11T23:15:31+00:00

     \text{ Total Surface Area of cube, with Side $a$ is } 6a^2 \\ \text{ (six times the area of each face)} \\ 6a^2=294 \ m^2 \\ a^2= \frac{294}{6} \\ a^2=\frac{49\times6}{6} \\ a^2=49 \\ a=\sqrt{49} \\ a=7 \ m \\ \text{Volume of cube with Side $a$ is } a^3 \\ V= 7^3=49\times7 \\ \text{volume of the cube is } 343 \ m^3

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