Question

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“A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. so how many cubic centimeters is it?

Answer 1

Answer:

216 cubic centimeters

Step-by-step explanation:

The details of the word problem are as follows;

The length of the edges of a cube, s = 6 cm

The volume of the cuboid = The volume of the cube

The length of a side of the cuboid = 4 cm

The length of the other side of the cuboid - 6 cm

The volume of the cube, V = 6 cm × 6 cm × 6 cm = 216 cm³

The volume of the cuboid, $V_c$ = 4 cm × 6 cm × T

Where 'T' represent the length of the third side

Therefore, 'T' = 216 cm³/(4 cm × 6 cm) = 9 cm

The length of the third side, T = 9 cm

The volume of the cuboid = The volume of the cube = 216 cm³