Vibha's mother melted a bar of chocolate measuring 16 cm × 4 am × 8 cm to make chocolate cubes. What was the length of each cubes if she could make only 8 cubes?
Answers
Answer:
Length ( a ) = 4 cm
Step-by-step explanation:
Volume of initial Chocolate bar = 16 cm × 4 cm × 8 cm = 512 cm³
We know that, on melting only the shape changes, but the amount of volume melted is same as the amount of volume remaining after melting.
It is given that, 8 chocolate cubes are made with the melted chocolate.
⇒ 8 × Volume of cube = 512 cm³
⇒ Volume of cube = 512 cm³ / 8
⇒ Volume of cube = 64 cm³
We know that Volume of cube is a³, where 'a' is the length of each side of cube.
⇒ a³ = 64 cm³
Taking cube roots we get,
⇒ a = ∛ 64 = 4 cm
Hence the length of each side of cube is 4 cm.
Hope it helped !!
Cheers !!
Hello!
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First of all we will find Volume
Volume = 4*16*8 cm
= 512cm^3
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We knew that here shape is changed not volume.
Therefore,
512cm^3 = 8*volume
Volume= 512/8
Volume= 64cm^3
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Therefore, length = x^3 = 64
√3 64 = 4
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Therefore, x^3 = 4cm
length of each cubes if she could make only 8 cubes was 4 cm