Question

2 cubes, each of volume 125 cm cube, are joined end to end. Find the surface
area of the resulting cuboid:​

Answer 1

To find out the answer, First, let us find the side of the cube, 

As you said it has a volume of 125 cm³, we can find it's side,

Volume of a general cube is it's side³,

Assuming side as a, 

Now,

a³ = 125 cm³,

=> a = 5 cm,

Now, We got the side of the cube, If two cubes are joined each other then, We can say that only length is changed, but breadth and height remain constant,

I am sorry that I can't provide you the diagram, But please do Imagine it,

Now, In the resulting cuboid, the length is 5+5 cm, and breadth = 5cm, and height is 5cm,

=> Length = 10 cm,

=> Breadth = 5 cm,

=> Height = 5 cm,

In general surface area means, Total Surface area,

and also, the Total Surface area of a cuboid of dimensions l*b*h is 2(lb+bh+lh),

Now, Substituting all the values of cuboid to find the Surface area,

=> Surface area of resulting cuboid is 2(10*5 + 5*5 + 10*5),

=> Surface Area = 2(50+25+50),

=> Surface area = 2(125),

=> Surface area = 250 cm²,

Therefore the answer to your question is 250 cm²,

Hope you understand, Have a Great day!

Answer 2

Answer:

a^3=125

a=5

L=2×5=10

b=5

h=5

TSA = 2{(L×B)+(B×H)+(L×H)

=2(50+25+50)

2×125

250

Step-by-step explanation:

Hope it helps❤️❤️❤️