1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Lateral surface area of a cube
Three cubes w...
Question
Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the surface area of the new cube.
Open in App
Solution
Sum of volume of all the cubes melted will be equal to the volume of the new cube formed.
Let x be the edge of the new cube.
Hence,
x
3
=
3
3
+
4
3
+
5
3
=
27
+
64
+
125
=
216
=
6
3
⇒
x
=
6
c
m
Now, surface area of the new cube
=
6
×
(
e
d
g
e
)
2
=
6
×
6
2
=
216
c
m
2
Suggest Corrections
1
Similar questions
Q.
Three metal cubes whose edges measure
3
c
m
,
4
c
m
and
5
c
m
respectively are melted to form a single cube. Find its edge. Also, find the surface area of the new cube.
Q.
Three cubes of metal with edges 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the lateral surface area of the new cube formed.
Q.
Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the surface area of the new cube formed.
Q.
Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the surface area of the new cube.
Q.
Three metal cubes whose edges measure
3
cm,
4
cm and
5
cm respectively are melted to form a single cube. Find (i) side-length (ii) total surface area of the new cube. What is the difference between the total surface area of the new cube and the sum of total surface areas of the original three cubes?
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Surface Area of Solids
MATHEMATICS
Watch in App
Explore more
Lateral surface area of a cube
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app