Question

Column A Column B
(a) Number of edges of a pyramid (p) 12
whose base is a pentagon
(b) Number of vertices of a pyramid (q) 10
whose base is hexagon
(c) Volume of a cone whose base (r) 3
radius is 3 units and height is
$\frac{7}{22}$ units (in cubic units)
(d) Total length of the edges of (s) 7
a pyramid whose base and lateral
faces are equilaternal triangles of
side 2 units (in units)

• A. qspr
• B. qsrp
• C. qpsr
• D. rpsq

Answer 1

The correct option is B qsrp

For $\left(a\right):$

Fig $\left(i\right)$ shows pyramid whose base is pentagon.

$AB,AC,AD,AE,AF,BC,CD,DE,BF$ and $EF$ are sides of edges of pyramid.

$\therefore$ Number of edges of a pyramid whose base is a pentagon $=10$

For $\left(b\right):$

Fig $\left(ii\right)$ shows pyramid whose base is hexagon

$P,Q,R,S,T,U$ and $V$ are vertices of hexagonal pyramid.

$\therefore$ Number of vertices of a pyramid whose base is hexagon $=7.$

For $\left(c\right):$

Radius of a cone $\left(r\right)=3$ units.

Height of a cone $\left(h\right)=\frac{7}{22}$ units.

Volume of a cone $=\pi r^2\frac{h}{3}$

$=\frac{22}{7}\times (3{)}^2\times \frac{7}{22\times 3}$

$=3$ cu units.

For $\left(d\right):$

Number of edges of pyramid whose base and lateral faces are equilateral triangle $=6$

Total length of pyramid whose side is $2$ units $=6\times 2units=12units$

So we get,

$\left(a\right)\to q$

$\left(b\right)\to s$

$\left(c\right)\to r$

$\left(d\right)\to p$