Answer
409.8k+ views
Hint: The volume of the rectangular solid is given by the product of length (l), width (b), and height (h).
$\therefore $ $V = lbh$
Put $l = 2p$, $b = 4q$ and $h = 8r$ into the formula $V = lbh$.
Complete answer:
Consider a rectangular box whose length is $2p$ , breadth is $4q$ and height is $8r$.
The volume of a rectangular solid is the product of the length, breadth, and height.
$V$ =Length $ \times $ breadth $ \times $ height
Substitute Length=$2p$, breadth=$4q$ and height=$8r$ into the formula of volume.
\[V\; = 2p \times 4q \times 8r\]
\[V\; = (2 \times 4 \times 8)pqr\]
\[V\; = 64pqr\]
Final Answer: The volume of a rectangular box with the given length$2p$, breadth$4q$, and height $8r$is \[64pqr\].
Note:
The formula for finding volume should be correct. Students may get confused with the formulas of volume and the areas.
Here are some list formulas for finding volume and area.
Volume of a rectangular box,$V = lbh$
Surface area of a rectangular box, $S = 2lb + 2bh + 2lh$
Where length =(l), width= (b), and height =(h).
Area of a Square , \[A{\text{ }} = {\text{ }}{a^2}\]
Where $a$ = Length of the sides of a Square
Area of a Rectangle ,\[A{\text{ }} = {\text{ }}l \times b\]
Where, l = Length ; b = Breadth
Area of a Triangle , \[A{\text{ }} = {\text{ }}\dfrac{1}{2} \times b \times h\]
Where, \[b\] = base of the triangle; \[h\] = height of the triangle
Surface Area of a Sphere ,\[S{\text{ }} = {\text{ }}4\pi {r^2}\]
Volume of a Sphere ,\[V{\text{ }} = {\text{ }}\dfrac{4}{3} \times \pi {r^3}\]
Where, $r$ = Radius of the Sphere
$\therefore $ $V = lbh$
Put $l = 2p$, $b = 4q$ and $h = 8r$ into the formula $V = lbh$.
Complete answer:
Consider a rectangular box whose length is $2p$ , breadth is $4q$ and height is $8r$.
The volume of a rectangular solid is the product of the length, breadth, and height.
$V$ =Length $ \times $ breadth $ \times $ height
Substitute Length=$2p$, breadth=$4q$ and height=$8r$ into the formula of volume.
\[V\; = 2p \times 4q \times 8r\]
\[V\; = (2 \times 4 \times 8)pqr\]
\[V\; = 64pqr\]
Final Answer: The volume of a rectangular box with the given length$2p$, breadth$4q$, and height $8r$is \[64pqr\].
Note:
The formula for finding volume should be correct. Students may get confused with the formulas of volume and the areas.
Here are some list formulas for finding volume and area.
Volume of a rectangular box,$V = lbh$
Surface area of a rectangular box, $S = 2lb + 2bh + 2lh$
Where length =(l), width= (b), and height =(h).
Area of a Square , \[A{\text{ }} = {\text{ }}{a^2}\]
Where $a$ = Length of the sides of a Square
Area of a Rectangle ,\[A{\text{ }} = {\text{ }}l \times b\]
Where, l = Length ; b = Breadth
Area of a Triangle , \[A{\text{ }} = {\text{ }}\dfrac{1}{2} \times b \times h\]
Where, \[b\] = base of the triangle; \[h\] = height of the triangle
Surface Area of a Sphere ,\[S{\text{ }} = {\text{ }}4\pi {r^2}\]
Volume of a Sphere ,\[V{\text{ }} = {\text{ }}\dfrac{4}{3} \times \pi {r^3}\]
Where, $r$ = Radius of the Sphere
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
Difference between Prokaryotic cell and Eukaryotic class 11 biology 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)
Fill the blanks with the suitable prepositions 1 The class 9 english 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)
Difference Between Plant Cell and Animal Cell
![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)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![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)