a solid cuboid dimension 30 and cast into cm * 25 cm * 9 cm is melted 2 identical cubes find the length of cubes formed
Answers
The length of the cubes formed from a solid cuboid of dimension 30 cm X 25 cm X 9 cm is 15 cm.
Step-by-step explanation:
The dimension of the solid cuboid:
Length, l = 30 cm
Breadth, b = 25 cm
Height, h = 9 cm
∴ The volume of the cuboid = l * b * h = 30 * 25 * 9 = 6750 cm³
Let the length of each cube so formed after melting the cuboid be “a” cm.
No. of identical cubes formed = 2
We know that,
The no. of cubes so formed = [Volume of cuboid ] / [Volume of each cube]
⇒ 2 = [6750] / [a³]
⇒ a³ = 6750/2
⇒ a³ = 3375
⇒ a = ∛3375
⇒ a = 15 cm
Thus, the length of the cubes formed is 15 cm.
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