Question

Volume of composite shapes.

Answer 1

99in³

Given :

• An object with a rectangular prism and a cylinder kept above it's surface.

To find :

• It's Volume ( given that π to be taken as 3 )

Solution :

Volume of rectangular prism :

• Volume of rectangular prism = lwh
• length = 6in
• width = 3in
• height = 4in
• Volume = 6in x 3in x 4in
• Volume = 72in³

Volume of cylinder :

• Volume of a cylinder = πr²h
• height given = 9in
• radius = 2in/2 = 1in
• Volume = 3 x (1in)² x 9in
• Volume = 3 x 1in² x 9in
• Volume = 27in³

Volume of the object given :

• Volume of cylinder + volume of rectangular prism
• => 72in³ + 27in³
• => 99in³

Hence,the volume of the given object would be 99in³ (approx)

Answer 2

V = 99 in³

Explanation:

For lower cuboid:

Given:

Volume= lwh

length(l)=6in

width(w)=3in

height (h)=4in

Now

Volume(V1) =6*3*4=72 in³

again

For Upper cylinder

Given:

Volume=πr²h

π=3

diameter (d)=2 in

radius(r)=d/2=2/2=1 in

height(h)=9in

Now

Volume(V2)=π*1²*9=3*1*9=27 in³

Now

Total Volume (V)= V1+V2=72+27=99 in³