Answer the 13th question "DO NOT SEND ANY LINKS" Q13 A cuboidal block of metal has dimensions - Maths - Area Theorems

Question

Answer the 13th question "DO NOT SEND ANY LINKS"

Q13 A cuboidal block of metal has dimensions 36 cm by 32 cm by 0
25m It is melted and recast into cubes with an edge of 4 cm How
many such cubes can be made? What is the cost of silver coating the
surfaces of the cubes at the rate of Rs 1 25 per square metre?

Shruti Tyagi · Accepted Answer

Dear student,

Volume of a cuboidal block=n×Volume of cubes       --[where n is number of cubes]⇒l×b×h=n×a3⇒36cm×32cm×0
25×100cm=n×4cm3 ⇒36×32×25=n×64⇒n=36×32×2564⇒n=36×1×252⇒n=18×25⇒n=450∴ Number of such cubes formed=450Surface area of 1 cube=6a2=6×4×4=96 cm2Surface area of 450 cube=450×96 cm2=43200 cm2Cost of 1 m2 = Rs 1
25Cost of 10000 cm2 = Rs 1
25Cost of 43200 cm2=Rs 43200×1
2510000=Rs 432×12510000=Rs 432×12510000∴Cost of 43200 cm2=Rs 5
4
Regards