Question

We have two cubes . the sum of the two cubes is 25. The sum of a side length of one cube and a side length of the other is 4. What is the sum of the total surface areas of the two cubes?

Answer 1

Answer:

we have a side of one cube =4/2=2

TSA of cube=6l^2

=6×{2}^2

=24

we have two cube ,so

24×2

48{ans

Answer 2

Answer:

57

Step-by-step explanation:

let sides of 2 cubes be a & b

Given, a^3 + b^3 = 25 --------1

and a+b=4 -----------2

Now we know, (a+b)^3=a^3+b^3+3ab(a+b)

using 1&2,

64=25+3ab(4)

=>13/4=ab --------3

We need to find 6(a^2+b^2) ------ sum(TSA of cube1 and cube2) ---------4

Now we also know, (a+b)^2=a^2+b^2+2ab

=>16=a^2+b^2+2(13/4)

=>19/2=a^2+b^2

Now put this in 4

Ans---> 6(19/2)=57