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

Except for one face of a given cube, identical cubes are glued to all the other faces of the given cube. If each side of the given cube measures 3 cm, what is the total surface area of the solid body thus formed?


A

225 cm2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

234 cm2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

270 cm2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

279 cm2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

234 cm2


Total surface area of one cube = 6 a2

Except one side all other sides is glued with another cube of same size, hence the surface area of original cube = 6 a2 - 5a2

Now, after glued one side is in attached with original cube and so, surface area of remaining 5 sides are = 5×5 (a) 2

So, total surface area of resultant figure =6 a2 - 5a2 + 5×5 (a) 2 = 26 a2 = 26 × 9 = 234 cm2.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Total Surface Area of a Cuboid
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon