(D) Cubes A, B, C having edges 18 cm. 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.
Answers
Answer:
The edge of the bigger cube D is 36 cm.
Step-by-step explanation:
Given:
The edge of cube A = 18 cm
The edge of cube B = 24 cm
The edge of cube C = 30 cm
To find out:
The edge of the bigger cube D.
Solution:
The cubes A, B, and C are melted to form a bigger cube D. Hence the volume of the bigger cube will be the sum of the smaller cubes A, B, and C.
The formula to find the volume (V) of a cube is given by,
V = a³
Where 'a' is the edge of the cube.
Therefore,
the volume of cube A = 18³ = 5832 cm³,
the volume of cube B = 24³ = 13824 cm³,
and the volume of cube C = 30³ = 27000 cm³.
Now the volume of the bigger cube D = 27000 + 13824 + 5832
= 46656 cm³
Hence the edge of cube D will be the cube root of the volume.
∴ Edge of cube D = ∛46656
= 36 cm