Question

A match box measures $4\text{cm}\times 2.5\text{cm}\times 1.5\text{cm}.$ Volume of a packet containing 12 such boxes (no space is left in the packet) is ____________.

• A. $170{\text{cm}}^3$
• B. $150{\text{cm}}^3$
• C. $180{\text{cm}}^3$
• D. $120{\text{cm}}^3$

Answer 1

The correct option is C $180{\text{cm}}^3$

Given, a match box of:
Length, $l=4cm$
Breadth, $b=2.5cm$
Height, $h=1.5cm$

Volume of the match box is:
$V=lbh$
$V=4\times 2.5\times 1.5{\text{cm}}^3$
$V=15{\text{cm}}^3$

Packet contains 12 match boxes. Hence, Volume of the packet is:
$V_2=12V$
$V_2=12\times 15{\text{cm}}^3$
$V_2=180{\text{cm}}^3$