Question

A match box measures $4\mathrm{cm}\times 2.5\mathrm{cm}\times 1.5\mathrm{cm}$. Then which of the following does not represent: the volume of a packet containing $12$such boxes, is

• A. $12\times 15{\mathrm{cm}}^3$
• B. $(12\times 4\times 2.5\times 1.5){\mathrm{cm}}^3$
• C. $180{\mathrm{cm}}^3$
• D. $(4\times 2.5\times 1.5){\mathrm{cm}}^3$

Answer 1

The correct option is D

$(4\times 2.5\times 1.5){\mathrm{cm}}^3$

Step 1: Given data

Dimensions of the matchbox are given as,

$$\begin{gathered} l=4cm \\ b=2.5cm \\ h=1.5cm \end{gathered}$$

No. of matchboxes$=12$

The volume of $12$ matchboxes$=?$

Step 2: Calculating the volume of $12$ matchboxes

Volume of cuboid$=l\times b\times h$

So, The volume of $12$ matchboxes

$$\begin{gathered} =12\times 4\times 2.5\times 1.5c{m}^3 \\ =12\times 15c{m}^3 \\ =180c{m}^3 \end{gathered}$$

Options A, B, and C represent the volume of $12$ matchboxes, but not option D.

Hence, option D is correct.