Question

A rectangular block of a metal measuring 4 cm by 5 cm by 6 sem was a metal down to make a block 8 cm long by 3 cm wide how high was the block

Answer 1

Answer:

Height is 5cm

Step-by-step explanation:

Original volume of rectangular box =l*b*h

L=4cm

B=5cm

H=6cm

=4*5*6=120 cub.cm

Another volume of rectangular box=l*b*h

L=8cm

B=3cm

H=X

120=l*b*h

120=8*3*X

120=24*X

X=120/24=5

Height=5 cm

Answer 2

Answer:

$\mathcal\pink{Given}$

ʟ= 4ᴄᴍ

ʙ= 5ᴄᴍ

ʜ= 6 ᴄᴍ

$\large\mathcal\pink{ᴛᴏ \: ғɪɴᴅ}$

ᴠᴏʟᴜᴍᴇ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ= ʟ*ʙ*ʜ

=4*5*6 ᴄᴍ^3

= 120 ᴄᴍ^3

${ᴀɢᴀɪɴ}$

ᴀɴᴏᴛʜᴇʀ ʀᴇᴄᴛᴀɴɢʟᴇ ʙᴏx,

ʟ=8ᴄᴍ

ʙ= 3ᴄᴍ

ʜ=?

ᴠᴏʟᴜᴍᴇ= ʟ*ʙ*ʜ

$= > 120 = 8 \times 3 \times h$

=> 120/8*3= ʜ

=> 5ᴄᴍ=ʜ

=>ʜ=5ᴄᴍ