Question

The volume of a cube is 729 cm3. Find its surface area and the length of a
diagonal.​

Answer 1

Answer:

surface area =486 cm²

length of diagonal=9√3 cm

Step-by-step explanation:we have given that :

volume of a cube is 729 cm³

we have to find :-

surface area and the length of a diagonal  = ?  

solution :-

we know that :

volume of cube = a³

surface area of cube = 6a²  

and  

length of diagonal = a√3

here,

a³ = 729 cm³  

=> a³ = 9³ cm³  

=> a = 9 cm

now  

surface area = 6 a² = 6×9²  

= 6 × 81 = 486 cm²

and  

length of diagonal =a √3  = 9 ×√3 cm  

✰✰ hope it helps ✰✰