Question

The given figure is a solid object made up of a pyramid and a prism. find the volume of the solid.​

Answer 1

Answer:

351.33 cube cm

Step-by-step explanation:

In prism,

Height of prism(H)= 9cm

Perpendicular(p)=8cm

Base(b)=3cm

Height(h)= base of pyramid(a)=??

Area of triangle(A)=??

Volume of prism(V1)=??

Using P.T,

h^2 = p^2 +b^2

or, a^2 = 8^2 +3^2  {h=a}

or, a^2 = 73

Now,

A= (b*p)/2

or, A= (3*80/)2

or, A= 12 sq.cm

Finally,

V1= A*H = 12*9 = 108 cube cm

In, pyramid,

a^2 = 73

h= 19-9 = 10cm

Volume of pyramid(V2) = ??

We know,

V2= (1/3) (a^2 * h) = (1/3) (73 *10) = 730/3 = 243.33 cube cm

Finally,

Total Volume(V)= V1 + V2 = 108+243.33 = 351.33 cube cm