The dimensions of a cuboid are 25cm * 20cm * 16cm . Find the length of a cube which has the same volume as this cuboid .

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Solution

Dear student,
$V o l u m e o f c u b o i d = v o l u m e o f c u b e 25 \times 20 \times 16 = a^{3} a = \sqrt[3]{25 \times 20 \times 16} a = \sqrt[3]{5 \times 5 \times 5 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} a = 5 \times 2 \times 2 = 20 c m$

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The dimensions of a cuboid are 25cm * 20cm * 16cm . Find the length of a cube which has the same volume as this cuboid .​

Dear student, Volume of cuboid=volume of cube25×20×16=a3a=25×20×163a=5×5×5×2×2×2×2×2×23a=5×2×2=20cm Regards

The dimensions of a cuboid are 25cm * 20cm * 16cm . Find the length of a cube which has the same volume as this cuboid .

Dear student,
$V o l u m e o f c u b o i d = v o l u m e o f c u b e 25 \times 20 \times 16 = a^{3} a = \sqrt[3]{25 \times 20 \times 16} a = \sqrt[3]{5 \times 5 \times 5 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} a = 5 \times 2 \times 2 = 20 c m$

Regards