Question

A cubical container was completely filled with oil. All the oil
was then poured into a larger rectangular container, 30 cm by
10 cm by 24 cm, filling 81% of it. Find the length of the
cubical container.​

Answer 1

Step-by-step explanation:

volume of rectangular container = 30*10*24=7200cubic centimetres

.

volume of cubical container = 81% of 7200

= 5832

.

length of cubical container = cube root of 5832

= 18cm

.

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Answer 2

$\bold{\underline{\underline{Answer:}}}$

Length of cubical container is 18 cm

$\bold{\underline{\underline{Step\:by\:step\:explanation:}}}$

Given :

• A container cubical in shape was completely filled with oil.
• The oil was poured into a larger rectangular container.
• Dimensions of rectangular container :-

1. Length = 30 cm
2. Breadth = 10 cm
3. Height = 24 cm

• The container was filled 81%

To find :

• Length of the cubical container.

Solution :

We will first calculate the volume of the rectangular container with the given dimensions.

Volume of a rectangle :

$\bold{\boxed{\large{\sf{\blue{Volume\:=\:length\times\:breadth\times\:height}}}}}$

Block in the values,

$\rightarrow$$\bold{Volume\:=\:30\times\:10\times\:24}$

$\rightarrow$$\bold{Volume\:=\:300\times\:24}$

$\rightarrow$$\bold{Volume\:=\:7200}$

•°• Volume of rectangular container is 7200 cm³

Now, given that the container was filled 81%.

Therefore, we will find 81 percent of the volume of the rectangular container which will be the volume of the cubical container.

To find 81 % of rectangular container :-

$\rightarrow$$\bold{\dfrac{81}{100}\times\:7200}$

$\rightarrow$$\bold{\dfrac{583,200}{100}}$

$\rightarrow$$\bold{5832}$

•°• 81% of the volume of the rectangular container = 5832

Now this 81% is the volume of the cubical container.

•°• Using the formula for volume of a cube, we can find the length of the cubical container.

Formula :

$\bold{\boxed{\large{\sf{\blue{Volume\:=side^3}}}}}$

Let the side of the cube be x cm.

Block in the values,

$\rightarrow$$\bold{5832=x^3}$

³√5832 = x

18 = x

•°• Length of the cubical container is 18 cm.