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Mensuration – II (Volumes and Surface Areas of a Cuboid and a Cube) — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSMensuration – II (Volumes and Surface Areas of a Cuboid and a Cube)2 Marks
Question
Find the volume of a cube whose surface area is:
$96cm^2$
✓

Answer

Surface area of a cube $= 96cm^2$
$\therefore$ Edge (a) $=\sqrt{\frac{\text{S}.\text{A}}{6}}=\sqrt{\frac{96}{6}}\text{cm}$
$=\sqrt{16}=4\text{cm}$
$\therefore$ Volume $= a^3= (4)^3cm^3= 64cm^3$

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