Question

a cuboid measure 36 x 12 x 6 metre and each edge of a cube measure 12 metre find the ratio of their volumes​

Answer 1

${{\underline{\underline{{\textsf{\textbf{Answer : }}}}}}}$

The ratio of the volumes of cuboid and cube is :

→ 5 : 4

${{\underline{\underline{{\textsf{\textbf{Explanation : }}}}}}}$

Step 1:

Given dimensions of the cuboid :

l (length) = 36 metres.

b (breadth) = 12 metres.

h (height) = 5 metres.

➡ Volume of a cuboid is given by :

→ l × b × h

• Representing $\sf {V}_{1}$ as the volume of the cuboid.

→ $\sf {V}_{1}$ = 36*12*5

→ $\sf {V}_{1}$ = 2160m³

Step 2:

Given dimension of the cube :

edge = 12 metres

We know that,

➡ Volume of a cube : (edge)³

• Representing $\sf {V}_{2}$ as the volume of the cube.

→ $\sf {V}_{2}$ = (12)³

→ $\sf {V}_{2}$ = 12*12*12

→ $\sf {V}_{2}$ = 1728m³

Step 3:

➡ Ratio of their volumes :

→ $\sf {V}_{1}$ : $\sf {V}_{2}$

→ 2160 : 1738

→ 5 : 4 ans.

${{\underline{\underline{{\textsf{\textbf{Hence, }}}}}}}$

The ratio is 5 : 4