Question

Figure A Figure B 3 ft 10 ft 2 ft 4 ft V= 120 cu ft Find the volume of Figure B.

Answer 1

The volume of the small figure is v = 120/8 cubic ft or v = 1.5 cubic ft if the volume of the larger cube is 120.

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

As we have given the volume of the larger cube is 120

Let v is the volume of the small shape.

$\rm \dfrac{120}{v} =\left( \dfrac{4}{2} \right)^3$

After simplifying:

v = 120/8 cubic ft

or

v = 1.5 cubic ft

Thus, the volume of the small figure is v = 120/8 cubic ft or v = 1.5 cubic ft if the volume of the larger cube is 120.

Learn more about the scale factor here:

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