A rectangular examination hall having seats for 500 candidates ha… - Vidyadip

Question

A rectangular examination hall having seats for $500$ candidates has to be built so as to allow $4$ cubic metres of air and $0.5$ square metres of floor area per candidate. If the length of hall be $25\ m$, find the height and breadth of the hall.

✓

Answer

Total number of seats in rectangular examination hall $= 500$
Length of the hall $= 25m$
Cubic metres of air for per candidate $= 4m^3$
Square metres of floor area for per candidate $= 0.5m^2$
$\therefore$ Height of the hall $=\frac{\text{Volume of air per candidate}}{\text{Square metre of floor area for one candidate}}$
$=\frac{4}{0.5}=\frac{40}{5}=8\text{m}$
Total capacity of the hall $=500\times4=2000\text{m}^3$
$\therefore$ Breadth of the hall $=\frac{2000}{25\times8}=\frac{80}{8}=10\text{m}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Mensuration→Mensuration — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Find the volume of a cylinder, the diameter of whose base is $7\ cm$ and height being $60\ cm.$ Also, find the capacity of the cylinder in litres.

If y-coordinate is 3 times x-coordinate, form a table for it and draw a graph.

Sum of the digits of a two-digit number is $11$. The given number is less than the number obtained by interchanging the digits by $9.$ Find the number.

Evaluate $\left\{(83)^2-(17)^2\right\}$

Represent the following numbers on the number line.
$-2\frac{5}{6}$

Can a polyhedron have $V = F = 9$ and $E = 16$? If yes, draw its figure.

Find the greatest common factor of the polynomial:
$42 x^2 y z$ and $63 x^3 y^2 z^3$

Can a quadrilateral $A B C D$ be a parallelogram if
(i) $\angle D+\angle B=180^{\circ}?$
(ii) $A B=D C=8 cm, A D=4 cm$ and $B C=4.4 cm?$
(iii) $\angle A=70^{\circ}$ and $\angle C=65^{\circ}?$

In $2007 – 08$, the number of students appeared for Class $X$ examination was $1,05,332$ and in $2008–09$, the number was $1,16,054$. If $88,151$ students pass the examination in $2007–08$ and $103804$ students in $2008–09$. What is the increase or decrease in pass $\%$ in Class $X$ result?

A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolate. Riya has 7.5 cups of chocolate. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?