A model statue is 10cm high and has a volume of 100cm cubed. The real statue is 2.4 m high. What is the volume of the real statue? Give your answer in m cubed.

Can you please explain how the answer is 1.38m cubed?

ISneezeFunny

First, are you sure you're correct on all of the measurements? Because after working out the math, it doesn't seem like it.

Think of it this way.

what's the ratio between the model and the real statue?

10cm : 240 cm

so it varies by a factor of 24.

Volume is the length x width, x height...so the real statue will be 24x larger in length, 24x larger in width, and 24x larger in height.

24 x 24 x 24 = 13824. the real statue's volume will be larger by a factor of 13824.

volume of model: 100 cm x 13824 = 1.38 something something...but I feel like your measurements are a little off.

galactus

That is correct. There are 1,000,000 cm^3 in 1 m^3. Your dimensions are in cm.

So, 1,382,400/1,000,000=1.3824

jojo24794

Thanks but my measurements are correct, I think the books just made a printing mistake or something

ebaines

I don't see a problem here - as ISF and Galactus shows, the volume is 24 x 24 x 24 x 100cm^3 = 1,382,400 cm^3 = 1.3824 m^3. Are you concerned that the answer is rounded off a little to 1.38 m^3? That's not an unreasonable thing to do, especially given that the dimensions you started with are accurate to only 2 decimal points.

jojo24794

So who's right?