Answer:
Part 1) <em>Sphere</em> The surface area is equal to
and the volume is equal to 
Part 2) <em>Cone</em> The surface area is equal to
and the volume is equal to 
Part 3) <em>Triangular Prism</em> The surface area is equal to
and the volume is equal to 
Step-by-step explanation:
Part 1) The figure is a sphere
a) Find the surface area
The surface area of the sphere is equal to

we have
----> the radius is half the diameter
substitute


b) Find the volume
The volume of the sphere is equal to

we have
----> the radius is half the diameter
substitute


Part 2) The figure is a cone
a) Find the surface area
The surface area of a cone is equal to

we have


Applying Pythagoras Theorem find the value of l (slant height)

substitute the values



so



b) Find the volume
The volume of a cone is equal to

we have


substitute


Part 3) The figure is a triangular prism
a) The surface area of the triangular prism is equal to

where
B is the area of the triangular base
P is the perimeter of the triangular base
L is the length of the prism
<em>Find the area of the base B</em>

<em>Find the perimeter of the base P</em>

we have

substitute the values

b) Find the volume
The volume of the triangular prism is equal to

where
B is the area of the triangular base
L is the length of the prism
we have


substitute
