A cuboid has dimensions of length 10 cm, width 5 cm and height 8 cm. A cube with sidelength 5 cm is cut out from one of the faces of the cuboid. What is the remainingvolume of the cuboid?
Given:
Cuboid dimensions: length =10 cm, width = 5 cm, height = 8 cm
Cube side length cut out = 5 cm
Formula Used:
Volume of cuboid = length × width × height
Volume of cube = (side)3
Remaining volume = Volume of cuboid − Volume of cube removed
Solution:
Volume of cuboid = 10 × 5 × 8 = 400 cm3
Volume of cube = 53 = 125 cm3
Remaining volume of the cuboid = 400 - 125 = 275 cm3
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