The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the… · ABC26GN4865
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: S.S.C. 2005
The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is
(a)$72 \mathrm{cm}^{2}$
(b)$108 \mathrm{cm}^{2}$
(c)$216 \mathrm{cm}^{2}$
(d)$432 \mathrm{cm}^{2}$
Answer
Explanation
Volume of the cuboid $=(9 \times 8 \times 6) \mathrm{cm}^{3}=432 \mathrm{cm}^{3}$. $$\text { Volume of the cube }=\left(\frac{1}{2} \times 432\right) \mathrm{cm}^{3}=216 \mathrm{cm}^{3} .$$
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