The dimensions of a cuboid is 10cm×8cm×5cm. Calculate the volume of the new cuboid if the scale factor is 0.5.
50
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Solution
The correct option is A 50 Given:
Dimensions of the cuboid =10cm×8cm×5cm
Scale factor =0.5
There are two ways to calculate the volume of the new cuboid.
Method - 1: Calculate the dimensions of the new cuboid
Dimensions of the new cuboid =(10×0.5)cm×(8×0.5)cm×(5×0.5)cm
=5cm×4cm×2.5cm
Volume =5×4×2.5cm3=50cm3
Method - 2: Multiply the scale factor with the volume of the actual cuboid
Volume of the actual cuboid =10×8×5cm3
=400cm3
Volume of the new cuboid =400×0.5×0.5×0.5cm3
The scale factor has been multiplied thrice because there are three dimensions and each dimension will be affected when the scale factor is multiplied.