Question

the dimension of a cuboid and 99 cm 33 cm 11 cm find the age of that cube whose volume is equal to cuboid​

Answer 1

Appropriate Question :

›»› The dimension of a cuboid and 99 cm 33 cm 11 cm find the edge of that cube whose volume is equal to cuboid.

Answer :

›»› The edge of

Given :

• The dimension of a cuboid and 99 cm 33 cm 11 cm.

To Find :

• The edge of that cube whose volume is equal to cuboid.

Solution :

As we know that

→ Volume of cuboid = length * breadth * height

→ Volume of cuboid = l * b * h

→ Volume of cuboid = 99 * 33 * 11

→ Volume of cuboid = 3267 * 11

→ Volume of cuboid = 35937

Now,

Volume of cuboid is equal to the volume of cube

→ Volume of cuboid = Volume of cube

→ 35937 = a³

→ a³ = 35937

→ a = ∛35937

→ a = 33

Hence, the edge of a cube is 33 cm.

Verification :

Volume of cuboid is equal to the volume of cube

→ Volume of cuboid = Volume of cube

→ 35937 = a³

→ 35937 = (33)³

→ 35937 = 33 * 33 * 33

→ 35937 = 1089 * 33

→ 35937 = 35937

Here, LHS = RHS

Hence Verified !

Answer 2

Answer:

$\huge \bf \: Given$

• Dimensions of cuboid = 99 cm, 33 cm, 11 cm
• Volume of cuboid = Volume of cuboid

$\huge \bf \: To \: find$

Edge of cube

$\huge \bf \: Solution$

Firstly we will find the volume of cuboid

$\huge \bf Volume =l \times b \times h$

$\sf \mapsto \: Volume = 99 \times 33 \times 11$

$\sf \mapsto \: Volume \: = 35937$

Hence Volume of cuboid is 35937 cm³.

$\huge \bf \: \: Let$

Edge of cube = e

$\sf \mapsto \: volume \:(cuboid)= volume \: (cube)$

$\sf \mapsto \: 35937 = {e}^{3}$

$\sf \mapsto \: {e}^{3} = 35937$

$\sf \mapsto \: e \: = \sqrt[3] {35937}$

$\sf \: e \: = 33$

$\huge \fbox {\bf edge \: of \: cube = 33 }$

Let's verify

$\sf \: 35937 = {33}^{3}$

$\sf \: 35937 = 35937$