Three cubes whose edges measure 3cm,4cm,5cm respectively to form a single cube.Find its edge.Also find the surface area of the new cube.

Share with your friends

Share 70

Ishan Goyal answered this

Volume of new cube = Sum of volume of three cubes

= 3³ + 4³ + 5³

= 216 cm³

i.e., (edge)³ = 216 cm³

So, Edge of the single cube = 6 cm

View Full Answer

Ishan Goyal answered this

Given : Three cubes of metal with edges 3 cm, 4 cm and 5 cm are melted to form a new single cube

Let the edge of new cube be a.

⇒ Volume of new cube = Volumes of three small cubes

⇒ a ³ = (3 cm)³ + (4 cm)³ + (5 cm)³

= a³ = 27 cm³ + 64 cm³ + 125 cm³

= a³ = 216 cm³

⇒ a = 6 cm

Hence Lateral surface area of new cube = 6a ²

= 6 x (6 cm)² = 6 x 36 cm²

= 216 cm²

Anshu Jha answered this

Volume of new cube = Sum of volume of three cubes

= 3³ + 4³ + 5³

= 216 cm³

i.e., (edge)³ = 216 cm³

So, Edge of the single cube = 6 cm

-1

Anshu Jha answered this

Given : Three cubes of metal with edges 3 cm, 4 cm and 5 cm are melted to form a new single cube

Let the edge of new cube be a.

⇒ Volume of new cube = Volumes of three small cubes

⇒ a ³ = (3 cm)³ + (4 cm)³ + (5 cm)³

= a³ = 27 cm³ + 64 cm³ + 125 cm³

= a³ = 216 cm³

⇒ a = 6 cm

Hence Lateral surface area of new cube = 6a ²

Anshu Jha answered this

= 6 x (6 cm)² = 6 x 36 cm²

= 216 cm²

-2

Mohammad Saad answered this

Volume of new cube = Sum of volume of three cubes

= 3³+ 4³+ 5³

= 216 cm³

i.e., (edge)³= 216 cm³

So, Edge of the single cube = 6 cm

Rhea answered this

Total volume of 3 cubes = (3³+ 4³+ 5³) cm³

= (27 + 64 + 125)cm³

= 216 cm³

Now volume of new cube = 216 cm³

So edge of new cube = cube root of 216 cm³

= 6 cm

Dhruv . answered this

First edge = 3 cm
Second edge= 4 cm
Third edge = 5 cm

VOLUME OF NEW CUBE = SUM OF VOLUME OF ALL THREE CUBES

VOLUME = A³
V₁= 3³
V₂=4³
V₃=5³

V₁+V₂+V₃=VOLUME OF NEW CUBE

27+64+125= 216cm³

Side of new cube = root of 216 (AS VOLUME = A³)
Side = 6 cm

EDGE = 6cm

TSA = 6a²
= 6*(6)²
= 6*36
= 216 cm²

TOTAL SURFACE AREA = 216 CM²EDGE = 6 CM

Yash Varshney answered this

The answer of this question is 6 cm.

Ritvik answered this

1 cube edge is 3 cm
2 cube edge is 4 cm
3 cube edge is 5 cm
edge of the new cube formed
volume of new cube = volume of all three cubes
volume of cube = s³
3³ + 4³+ 5³
27 + 64 + 125
216 cm³
cube root of 216 = 6
edge of the new cube formed = 6 cm

Abdul answered this

First cube edge is 3 cm
Second cube edge is 4 cm
Third cube edge is 5 cm
edge of the new cube formed
volume of new cube = volume of all three cubes
volume of cube = s3
33?+ 43?+ 53
27 + 64 + 125
216 cm3
cube root of 216 = 6
edge of the new cube formed = 6 cm
?

C.sai Kartheek answered this

idk

-2

Krithik answered this

^6cm

-5

Aniket Kasaudhan answered this

good question

-2

Nimish Medatwal answered this

2³33443^33334444433

Gauri answered this

yes

-3

Anshu answered this

3root216=6

-3

Shivam Aggarwal answered this

6 cm

-2

Ramanujam answered this

solution,
the sum of three cubes be,
3³ + 4³ + 5³= 216 cm³
let the edge be x.
x = 216 cm³
x = 6cm

-1

Priyam Bhardwaj answered this

SURFACE AREA OF A CUBE IS 6 CM

Tanushree Pandey answered this

edge=6

-2

Jyothirmai Tummidi answered this

In the above answer if edge
=6cm
then,
surface area of the cube is 4 (edge square)
=4(6*6)
=36*4

=144 sq.cm

Aniket answered this

Vidya wants to cover who dimensions are20cm,30cm,8cm. She has a piece of paper of area 1sqm will she able to cover a gift .explain

Kirti answered this

here
volume of new cube=sum of all the 3 cubes
also volume of a cube=edge^3
as given
edge of 1st cube=3cm
2nd cube=4cm
3rd cube=5cm
therefore volume of new cube=3^3+4^3+5^3
=27+64+125
=216cm^3
also
edge of new cube: edge^3=216cm^3
edge=6cm

Kab answered this

lbh
3*4*5=60

-2

Rudresh Kumar Dubey answered this

Given sides of all the three cubes=3 cm, 4 cm and 5 cm. Volume if new cube= Sum of volume of all the thre cubes Formula to find the volume if a cube=Side raised to the power 3 or side cube. Therefore the volume of new cube=(3 cube + 4 cube +5cube) cubic cm =(27+64+125) cubic cm =216 cubic cm

Lenin Dimitro answered this

volume of new cube = Sum of volume of three cubes
= 3³ + 4³ + 53
= 216 cm^{3

i.e (edge)}^{3 = 216 cm^3

So, Edge of the single cube = 6 cm}

Aadish answered this

6cm

-1

Misbahul Haque answered this

sum of three cubes =volume of new cube

Ayush answered this

a hollow hemispherical vessel has external and internal radius as 43 cm nd 42 cm respectively.if rate of colouring it is 7 paisa per cm^2 then find the coat of painting the vessel

-2

Sambhav answered this

Jagan answered this

volume of new cube = sum of the volume of three cubes
=3^3+4^3+5^3
=216 cm^3
ie,(edge)^3=216cm^3
so,edge of the single cube=6cm

-1

Khushi answered this

volume of new cube =sum of volume of three cubes
=3

-1

Aditya Pai answered this

Suppose, we have three cubes of different edges,
To form a single large cube,
The total volume of all small cubes= 3³+4³+5³=27+64+125=216 cm3
So the edge of the larger cube is= 216^1/3=6 cm
The total surface area of the larger cube is=6x²=6*36=216 cm²
Hence, the larger cube has a surface area of 216 cm²

Nischay Saikia answered this

Volume of new cube = Sum of volume of three cubes = 33 + 43 + 53 = 216 cm3 i.e., (edge)3 = 216 cm3 So, Edge of the single cube = 6 cm

-1

Taranjeet Singh Bedi answered this

volume of cube = s³
                     = 3³+4³+5³
                    =27+64+125
                     =216cm3
Edge=216/6/6
=6
surface area of first cube = 6s2
= 6*3²
= 6* 9
=54
surface area of second cube=6*4²=6*16
=96
surface area of third cube=6*5²=6*25
=150

Neymer answered this

all sides are equal so the dimensions of the new cube will be the sum of volumes of the 3 cubes
volume= a^3
so 1st cube volume = 5^3 = 125
2nd cube = 4^3= 64
3rd cube = 3^3 = 27
therefore new cube volume = 125+64+37=216
then each edges will : a^3 = 216
a = root of 216 = 6cm

-1

Sanjeeva Shekar answered this

why are there soo many answers ??lmao

-1

Rohit answered this

Cube of three things whose sides are melted 3 cm 4 centimeters and 5 centimeters to form a new cube, Find out the area and volume of the new cubes.

Chharishma.r.nayaka answered this

Hope it helps u!!!!!

-1

Arjun Jha answered this

6 cm

Shikha Gupta answered this

Please find this answer

Hari Shakthi Vel answered this

Regards!!!

Hari Shakthi Vel answered this

Hey your's dp is nice can you be my friend.

-1

Chanchal Joshi answered this

may be any of the above

Lohitaksh Singla answered this

As they are melted to form one single cube so the volume of all the three cubes will equal to the volume of one single cube
a^3 + b^3 + c^3 = x^3 .........( where x is edge of greater cube and a,b,c are edge of smaller cube)
3^3 + 4^3 + 5^3 = x^3
9+64+125 = x^3
216 = x^3
(6)^3 = x^3
on comparing x will equal to 6
so, edge of greater cube is equal to 6
Surface Area will equal to 6a^2
6 x (6)^2
216 cm^2

Arko Bera answered this

Please find this answer

Manav Sahni answered this

Please find this answer

-1

ॐ | तनिष | ॐ answered this

fhjvusfufhyfsfuh

-1

Arjun Dadhich answered this

Edge=6cm
Tsa=216

-1

Amarjeet Kaur answered this

Volume of 3 cubes= (3^3+4^3+5^3)

= 27+64+126
= 216

Cube root of 216 = 6 cm ( the edge of the new cube)

CSA= 4a^2
=4?6^2
=4?36
=144cm^2
=

-1

Devansh Trivedi answered this

Sorry i dont know

-1

Bhadur Singh answered this

answer

-1

Manish Kumar Meena answered this

Please find this answer

Rahul From Dpsb answered this

OOOKYGHUG

Rahul From Dpsb answered this

HUMM

Shivam Kumar answered this

Edge=6
Total surface area=216sq. cm

Manish Kumar answered this

one book cost is 5 Rupees then there are 5 5 into 5 is equal to 25 answer

Pradeep Kumar answered this

Central bureau of investigation

Anshul Agarwal answered this

The new cube edge is 12

Prashant Tiwari answered this

(1)Diagonal of the cuboid =?l square +b square +h square
(2)Diagonal of the cube =?3a

Yashaswini Jain answered this

Edge of 1st cube = 3cm

Volume of 1st cube = edge^3

=3^3

=27cm^3

Edge of 2nd cube=4cm

Volume of 2nd cube =4^3

=64cm^3

Edge of 3rd cube =5cm

Volume of 3rd cube =5^3

=125cm^3

Total volume of the 3 cubes =Volume of new cube

Volume of new cube = 27 +64+125cm^3

=216cm^3

Edge^3=216

Edge=6cm

Surface area of the new cube = 6×edge^2

=6×6^2

=216cm^2

Chris Roman answered this

Volume of the new cube=3^3+4^3+5^3
=27+64+125
=216
Length of the edge of the new cube=3?216
=6 cm
TSA of the new cube=6?6^2
=216

Chris Roman answered this

LSA of the new cube=4?6^2
=4?36
=144 cm^2

Prachi answered this

Please find this answer

Prempal Sharma answered this

????? ????? ??? ??? ???? ??

Muna answered this

What is set Ask me

Muna answered this

What is set Ask me

V.varnika Goud answered this

I understand

Saif Raza answered this

Please find this answer

Chirag Menon answered this

Volume of new cube = Sum of volume of three cubes
= 3³ + 4³ + 5³
= 216 cm³
i.e., (edge)³ = 216 cm³
So, Edge of the single cube = 6 cm
Your Welcome!!!!!!!!!!!

Rohit Ku At answered this

Tanu Kumari 2020

Rohit Ku At answered this

Rohit kumar

Ashish answered this

Hosur Medhavi Ashish Mankar

Kanhiya Singh answered this

A Textbook Of Mathematics ka book sa 8.1 8.2 bala math solusion

Manish Salaria answered this

Please find this answer

Pinki Yadav answered this

Image answer

😘😘😘😘 Ragini 🥰�... answered this

The find attached my answer is twelve

-1

😘😘😘😘 Ragini 🥰�... answered this

Sorry my answer six

Vaibhavi Singh answered this

Please find this answer

Abhinav Jha answered this

1 cube edge is 3 cm
2 cube edge is 4 cm
3 cube edge is 5 cm
edge of the new cube formed
volume of new cube = volume of all three cubes
volume of cube = s3
33 + 43 + 53
27 + 64 + 125
216 cm3
cube root of 216 = 6
edge of the new cube formed = 6 cm

Vidhya.a answered this

9th standent question paper

Amitha answered this

Volume of a new cube = Sum of volumes of three cubes
= 33?+ 43?+ 53
= 216 cm3
(edge)3?= 216 cm3
So, Edge of a single cube = 6 cm

Pari answered this

Please find this answer

Himanshu Prajapati answered this

5055

Aayush Sharma answered this

Please find this answer

Khushboo Kumari answered this

Ans is volume of cube is = l ?b?h
3?4?5?=60
And then
Surface area of cube= 6?(l)power 2
6?(60) power 2
=6?3600
=21600

Piyush Kumar answered this

Please find this answer

Piyush Kumar answered this

Answer - 144cm^2

Kusum answered this

Length of each side of cube /= cm

Jal Patel answered this

Answer would be edge of new cube=6cm

Jegannathan Anandaraman answered this

Volume of three cubes in total is 27+64+125 = 216 cubic cm
216 = 6 ?6 ? 6
So edge of newly formed cube = 6 cm

Jegannathan Anandaraman answered this

As edge comes to be 6 cm total surface area of new cube = 6 ? side x side = 6 ? 6 ? 6 = 216 square cm

Shubhangi Kamnapure answered this

Let x cm be the edge of the new cube.

Then, the volume of the new cube= Sum of the volumes of three cubes

?x
3
=3
3
+4
3
+5
3
=216

?x
3
=6
3
?x=6cm

The edge of the new cube is 6cm long.

Surface area of the new cube=6x
2
=6?6
2
cm
2
=216cm
2

Anamika ❤ answered this

............

Aanchal Verma answered this

5 cm

Sarah ❣ answered this

Surface of a cube is 6 cm

Suyash Yadav answered this

6cm :)

Rajkumar Rajkumar answered this

Just open your ncert book page no 237 in summary you will find formulas to solve