Question

Find the length of a wooden plank of width
2.5 m, thickness 0.025 m and volume 0.25 m
(a) 4 m (b) 10 m (c) 12 m (d) 5 m
3​

Answer 1

Answer :-

4m

Explanation :-

Given :

Width of the wooden plank = 2.5m

Thickness of the  wooden plank = 0.0025

Volume of the wooden plank = 0.25m

To Find :

Length of a the wooden plan,L = ?

Solution :

We know,

$\boxed{\sf{}V=L\times H \times W}$

Here,

V is the volume,

L is the length,

H is the height and,

W is the width.

Put their values and find the length of the given rectangle.

$\sf{}:\implies 0.25=L\times 0.025\times 2.5$

$\sf{}:\implies 0.25=L\times 0.0625$

$\sf{}:\implies \dfrac{0.25}{0.0625}=L$

$\sf{}:\implies L=0.25\div 0.0625$

$\sf{}:\implies L=\dfrac{25}{100}\div \dfrac{635}{1000}$

$\sf{}:\implies L=\dfrac{25}{100}\times \dfrac{10000}{625}$

$\sf{}\therefore L= 4m$

Therefore,length of the wooden plank is equal to 4m

Hence,option a (4m) is correct

Answer 2

GIVEN :-

• Tʜᴇ ᴡɪᴅᴛʜ ᴏғ ᴀ ᴡᴏᴏᴅᴇɴ ᴘʟᴀɴᴋ ɪs "2.5m" .

• Tʜᴇ ᴛʜɪᴄᴋɴᴇss ᴏғ ᴛʜᴇ ᴡᴏᴏᴅᴇɴ ᴘʟᴀɴᴋ ɪs "0.025m" .

• Tʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴡᴏᴏᴅᴇɴ ᴘʟᴀɴᴋ ɪs "0.25m³" .

TO FIND :-

• Tʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴡᴏᴏᴅᴇɴ ᴘʟᴀɴᴋ .

SOLUTION :-

$\red\checkmark\:\bf\blue{Volume\:of\:Wooden\:plank\:=\:l\times{b}\times{h}\:}$

ᴡʜᴇʀᴇ,

• $\bf\red{v}$ = ᴠᴏʟᴜᴍᴇ

• $\bf\red{l}$ = ʟᴇɴɢᴛʜ

• $\bf\red{b}$ = ʙʀᴇᴀᴅᴛʜ/ᴛʜɪᴄᴋɴᴇss

• $\bf\red{h}$ = ʜᴇɪɢʜᴛ/ᴡɪᴅᴛʜ

Aᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ,

• $\bf\red{v}$ = 0.25m³

• $\bf\red{Thickness}$ = 0.025m

• $\bf\red{Width}$ = 2.5m

➳ 0.25 = l × 0.025 × 2.5

➳ l = 0.25/0.0625

➳ l = 4 m

$\huge\red\therefore$ Tʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴡᴏᴏᴅᴇɴ ᴘʟᴀɴᴋ ɪs "4m" .