Question

The volumes of two similar solids is 32 cm3 and 864 cm3. What is the ratio of the corresponding sides

Answer 1

ratio of their sides =cube root of (32/864)

Answer 2

1/3

Answer 3

i think both solids r cube

Answer 4

is not it

Answer 5

Apply similarity

Answer 6

(volume factor) = (Scale factor)^3

And take cube root on both sides of the equation

Answer 7

refer to the top / first 2 answers above

Answer 8

@matricked , can you show me work?

Answer 9

if the side lengths are in ratio \(\large \mathbb{\frac{p}{q}}\),

then the area will be in ratio \(\large \mathbb{\frac{p^2}{q^2}}\),

and the volumes will be in ratio \(\large \mathbb{\frac{p^3}{q^3}}\),

Answer 10

working it backwards gives u the side lengths

Answer 11

\[\dfrac{p}{q} = \left(\dfrac{p^3}{q^3}\right)^{\dfrac{1}{3}}\]

Answer 12

Thank you as always @ganeshie8
And everyone else Thank you soo much!!!!