Answer
438k+ views
Hint: We are given the dimension of the wall as \[8\times 3\times 5.\] The wall is the same as the cuboid. So, we will find the volume of the cuboid (wall) using the formula \[V=L\times B\times H.\] The dimension we have is in meters. So the volume will come in \[{{m}^{3}}.\] Then, we will convert the volume in \[c{{m}^{3}}\] using the scale \[1{{m}^{3}}=1000000c{{m}^{3}}\] and unitary method.
Complete step-by-step solution:
We are given that the wall has a length of 8m, thickness 3m, and height 5m.
We know that the wall is in the shape of a cuboidal box. We have the length of the wall as 8m, thickness as 3m, and height as 5m. This means that we are given the length of the cuboid as 8m, the width of the cuboid as 3m, and the height of the cuboid as 5m.
The volume is now the same as the volume of the cuboid. We know that the volume of the cuboid is given as \[\text{Volume}=L\times B\times H.\]
We have L = 8, B = 3 and H = 5. So, the volume of the cuboid will be
\[\text{Volume of Cuboid}=8\times 3\times 5\]
\[\Rightarrow \text{Volume of Cuboid}=120{{m}^{3}}\]
So, we get the volume of the cuboid as \[120{{m}^{3}}.\] This means that the volume of the wall is \[120{{m}^{3}}.\]
Now, we need our final solution in \[c{{m}^{3}}.\] So, we will convert the volume of the wall from \[{{m}^{3}}\] to \[c{{m}^{3}}.\]
We know that,
\[1{{m}^{3}}=1000000c{{m}^{3}}\]
So by using the unitary method, we have,
\[120{{m}^{3}}=120\times 1000000c{{m}^{3}}=120000000c{{m}^{3}}\]
So, we get our final volume of the wall in \[c{{m}^{3}}\] as \[120000000c{{m}^{3}}.\]
Hence, option (d) is the right answer.
Note: We can also convert the dimension in the initial stage, but it will make our calculation a bit lengthy and complex. Here, \[1{{m}^{3}}=1000000c{{m}^{3}}\] because we know that 1m = 100 cm. So,
\[{{\left( 1m \right)}^{3}}={{\left( 100cm \right)}^{3}}\]
Multiplying 3 times to solve the cube, we get,
\[\Rightarrow 1{{m}^{3}}=100\times 100\times 100c{{m}^{3}}\]
\[\Rightarrow 1{{m}^{3}}=1000000c{{m}^{3}}\]
Complete step-by-step solution:
We are given that the wall has a length of 8m, thickness 3m, and height 5m.
![seo images](https://www.vedantu.com/question-sets/b8716f6d-ba1c-49fe-92e4-0bd592c1fae93115705342229921153.png)
We know that the wall is in the shape of a cuboidal box. We have the length of the wall as 8m, thickness as 3m, and height as 5m. This means that we are given the length of the cuboid as 8m, the width of the cuboid as 3m, and the height of the cuboid as 5m.
The volume is now the same as the volume of the cuboid. We know that the volume of the cuboid is given as \[\text{Volume}=L\times B\times H.\]
We have L = 8, B = 3 and H = 5. So, the volume of the cuboid will be
\[\text{Volume of Cuboid}=8\times 3\times 5\]
\[\Rightarrow \text{Volume of Cuboid}=120{{m}^{3}}\]
So, we get the volume of the cuboid as \[120{{m}^{3}}.\] This means that the volume of the wall is \[120{{m}^{3}}.\]
Now, we need our final solution in \[c{{m}^{3}}.\] So, we will convert the volume of the wall from \[{{m}^{3}}\] to \[c{{m}^{3}}.\]
We know that,
\[1{{m}^{3}}=1000000c{{m}^{3}}\]
So by using the unitary method, we have,
\[120{{m}^{3}}=120\times 1000000c{{m}^{3}}=120000000c{{m}^{3}}\]
So, we get our final volume of the wall in \[c{{m}^{3}}\] as \[120000000c{{m}^{3}}.\]
Hence, option (d) is the right answer.
Note: We can also convert the dimension in the initial stage, but it will make our calculation a bit lengthy and complex. Here, \[1{{m}^{3}}=1000000c{{m}^{3}}\] because we know that 1m = 100 cm. So,
\[{{\left( 1m \right)}^{3}}={{\left( 100cm \right)}^{3}}\]
Multiplying 3 times to solve the cube, we get,
\[\Rightarrow 1{{m}^{3}}=100\times 100\times 100c{{m}^{3}}\]
\[\Rightarrow 1{{m}^{3}}=1000000c{{m}^{3}}\]
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)