wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A 5×5×5 cube is formed by using 1×1×1 cubes. If we add another layer of such 1×1×1 cube around the 5×5×5 cube. What will be the number of 1×1×1 cubes in the newly formed cube?

A
216
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
343
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
294
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
264
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 343
A 5×5×5 cube has 5 cubes of 1×1×1 cubes along its length, breadth and width each. If we add a layer of 1×1×1 cubes (the smaller cubes) then the new cube will have following dimensions:
Length =5+1+1=7; breadth =5+1+1=7 and width =5+1+1=7.
So the number of 1×1×1 cubes in this 7×7×7 cube
=7×7×7=343.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Definition of Sets
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon