The dimension of a cuboid are 25 cm, 20 cm and 16 cm.Find the length of a cube which has the same volume as this cuboid
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Answered by
33
Answer : 20 cm
Step-by-step solution :
Dimensions of cuboid,
Length = 25 cm, Breath = 20 cm and height = 16 cm
Volume of cuboid = l × b × h
V of cuboid = 25 cm × 20 cm × 16 cm
= 8000 cm³
Now, a cube of same volume = 8000 cm³
Volume of cube = l³
8000 cm³ = l³
2³ × 10³ cm³ = l³
2 × 10 cm = l
20 cm = length
Step-by-step solution :
Dimensions of cuboid,
Length = 25 cm, Breath = 20 cm and height = 16 cm
Volume of cuboid = l × b × h
V of cuboid = 25 cm × 20 cm × 16 cm
= 8000 cm³
Now, a cube of same volume = 8000 cm³
Volume of cube = l³
8000 cm³ = l³
2³ × 10³ cm³ = l³
2 × 10 cm = l
20 cm = length
Answered by
29
According to the Question
Dimension of a cuboid are 25 cm, 20 cm and 16 cm
Volume of cuboid
⇒ 25 × 16 × 20 = 8000 cm^3
Volume of cube = 8000 cm^3
Side of cube = ∛8000
= 20
Side of the cube = 20
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