If the surface area of cube is 486 cm square.find the length of a diagonal and volume of a cube
Answers
Answer:
hey friend your answer is 9root3
Step-by-step explanation:
Given,
The surface area of a cube = 486 cm²
To find,
We have to find the length of the diagonal and volume of the cube.
Solution,
The length of the diagonal and the volume of the cube are 9√3 cm and 729cm³ respectively.
We can simply find the length of the diagonal and the volume of the cube by using the formulas,
The surface area of cube = 6 * (side)²
486 = 6* (side)²
486/6 = (side)²
81 = (side)²
9 cm = side
Length of the diagonal = √3 * side
= √3 * 9
= 9√3 cm
Volume of a cube = side *side *side
= 9 *9 *9
= 729 cm³
Hence, the length of the diagonal of the cube is 9√3 cm, and the volume of the cube is 729 cm³.