Question

Find the ratio of the volume of two cubes whose sides are 1.5cm and 3.5cm

Answer 1

Answer:

ratio = v1:v2

=(1.5)^3:(3.5)^3

=27:329

Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

Find the ratio of the volume of two cubes whose sides are 1.5cm and 3.5cm ?

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{\pink{Given}}}}}$

• Side of first cube = 3.5 cm
• side of second cube = 1.5 cm

$\Large{\underline{\mathfrak{\bf{\pink{Find}}}}}$

• The ratio of the volume of two cubes.

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

we know,

$\small\boxed{\sf{\blue{\:Volume_{first\:cube}\:=\:(side)^3}}} \\ \\ \mapsto\sf{\:Volume_{first\:cube}\:=\:(3.5)^3} \\ \\ \mapsto\sf{\:Volume_{first\:cube}\:=\:42.875\:cm^3}$

Again,

$\small\boxed{\sf{\blue{\:Volume_{second\:cube}\:=\:(side)^3}}} \\ \\ \mapsto\sf{\:Volume_{second\:cube}\:=\:(1.5)^3} \\ \\ \mapsto\sf{\:Volume_{second\:cube}\:=\:3.375\:cm^3}$

Now, Ratio of there volume will be

$\mapsto\sf{\:(Volume_{first\:cube})\::\:(Volume_{second\:cube})}$

$\mapsto\sf{\:(42.875):(3.375)}$

we can write in division form

$\mapsto\sf{\:\dfrac{42.875}{3.375}} \\ \\ \small\sf{\:\:\:\:\:divided\:by\:35} \\ \\ \mapsto\sf{\:\dfrac{\cancel{42875}}{\cancel{3375}}} \\ \\ \small\sf{\:\:\:\:divided\:by\:25} \\ \\ \mapsto\sf{\:\dfrac{\cancel{1225}}{\cancel{135}}} \\ \\ \small\sf{\:\:\:\:\:\:divided\:by\:5} \\ \\ \mapsto\sf{\:\dfrac{245}{27}} \\ \\ \small\sf{\:\:\:\:write\:in\:ratio} \\ \\ \mapsto\sf{\:245:27}$

Thus:-

$\small\boxed{\sf{\:(Volume_{first\:cube})\::\:(Volume_{second\:cube})\:=\:(245:27)}}$