Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2006 · Marks: · Difficulty:
From a cube of side 8m, a square hole of 3m side is hollowed from end to end. What is the volume of the remaining solid?
(a)$440 \mathrm{m}^{3}$
(b)$480 \mathrm{m}^{3}$
(c)$508 \mathrm{m}^{3}$
(d)$520 \mathrm{m}^{3}$
Answer
Answer (as printed): A
Explanation
Volume of the remaining solid = Volume of the cube - Volume of the cuboid cut out from it $$=[(8 \times 8 \times 8)-(3 \times 3 \times 8)] \mathrm{m}^{3}=(512-72) \mathrm{m}^{3}=440 \mathrm{m}^{3} .$$