Question

The figure shows a cuboid with a volume of $180{cm}^3$.
What is the value of $p$?

• A. $72$
• B. $36$
• C. $18$
• D. $2$

Answer 1

Answer: (D)

$2$

Given : Length $=9$ cm, width $=(p+3)$ cm and height $=4$ cm.

Volume is $180$ cu cm

Then volume of cuboid $=9\times (p+3)\times 4=36(p+3)c{m}^3$

But given volume of cuboid $=180$ cu cm

So $36(p+3)=180$

$\Rightarrow 36p+108=180$

$\Rightarrow 36p=180-108$]

$\Rightarrow 36p=72$

$\Rightarrow p=2$