Question

A rectangular solid has three faces with areas of $28,20,$ and $35$ square centimetres. Calculate the volume of this solid.

• A. $83$ cubic cm
• B. $140$ cubic cm
• C. $166$ cubic cm
• D. $196$ cubic cm

Answer 1

The correct option is B $140$ cubic cm

Let the length width and height of rectangular solid is $l,w$ and $h$.

Then area of first face=$l\times w=28$........................(1) given

Then area of second face=$w\times h=20$........................(2) given

Then area of third face=$l\times h=35$........................(3) given

Multiply (1) ,(2) and (3) we get

$l^2\times w^2\times h^2=28\times 20\times 35=19600$

$\Rightarrow lwh=140$

Then we know that volume of rectangle solid $=lwh=140$ cubic cm