Consider the length of a room is 15m and width is 10m. If the sum of the area of the floor and ceiling is equal to the sum of area of the four walls, then the volume of the room is

900 m^{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1000 m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1200 m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1500 m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
$900 m^{3}$

$G i v e n i n f o r m a t i o n i s :$

$A r e a o f f l o o r + A r e a o f c e i l i n g = S u m o f a r e a o f f o u r w a l l s$

$\Rightarrow (10 \times 15) + (10 \times 15) = (15 \times h \times 2) + (10 \times h \times 2)$

$\Rightarrow 300 = 50 h$

$\Rightarrow h = 6 m$

$V o l u m e o f r o o m = 10 m \times 15 m \times 6 m$
$= 900 m^{3}$

Suggest Corrections

Join BYJU'S Learning Program