Question

Find the volumes of rectangular boxes with length, breadth and height in the following table

S.No	Length	Breadth	Height	Volume $\left(v\right)=l\times b\times h$
1	$3x$	$4x^2$	$5$	$v=3x\times 4x^2\times 5=60x^3$
2	$3a^2$	$4$	$5c$	$v=......................$
3	$3m$	$4n$	$2m^2$	$v=......................$
4	$6kl$	$3l^2$	$2k^2$	$v=......................$
5	$3pr$	$2qr$	$4pq$	$v=.....................$

• A. 2. $60a^{2}c$
• B. 5. $24p^2{q}^2{r}^2$
• C. 4. $36k^3{l}^3$
• D. 3. $24m^{3}n$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A

2. $60a^{2}c$

B 5. $24p^2{q}^2{r}^2$
C 4. $36k^3{l}^3$
D 3. $24m^{3}n$

Given formula is,

$v=l\times b\times h$

(2) Given,

$l=3a^2,b=4,h=5c$

$\therefore v=l\times b\times h=3a^2\times 4\times 5c=60a^{2}c$

(3) Given,

$l=3m,b=4n,h=2m^2$

$\therefore v=l\times b\times h=3m\times 4n\times 2n^2=24m^{3}n$

(4) Given,

$l=6kl,b=3l^2,h=2k^2$

$\therefore v=l\times b\times h=6kl\times 3l^2\times 2k^2=36k^3{l}^3$

(2) Given,

$l=3pr,b=2qr,h=4pq$

$\therefore v=l\times b\times h=3pr\times 2qr\times 4pq=24p^2{q}^2{r}^2$