Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Six cubes each of side 4 cm, are placed adjacent to each other. Find the volume of the cuboid so formed.
256┬аcm3
384┬аcm3
512┬аcm3
64┬аcm3
384┬аcm3
Since the cubes are identical and combined, the total volume is simply the volume of one cube multiplied by the total number of cubes, regardless of how they are arranged.
Six identical cubes are given, each having a side length (a) of 4 cm.
VtotalтАЛ=n├Чa3
Since the cubes are identical and combined, the total volume is simply the volume of one cube multiplied by the total number of cubes, regardless of how they are arranged.
Students often spend time calculating the new length, breadth, and height of the resulting cuboid (24├Ч4├Ч4), which is unnecessary as the total volume remains the sum of the individual volumes.
Calculate the volume of one cube
The volume of a single cube with side a=4 cm is calculated using V=a3.
V=43=64┬аcm3
Calculate total volume
Since there are 6 such cubes joined together, multiply the volume of one cube by 6.
VtotalтАЛ=6├Ч64=384┬аcm3
B is correct because the total volume of six cubes of side 4 cm is 6├Ч43=6├Ч64=384┬аcm3.
While the total surface area changes when cubes are joined (due to overlapping faces), the total volume is always conserved as the sum of individual volumes.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants