Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6)
Part 7) Your friend is not correct,
Part 8)
Part 9)
Step-by-step explanation:
we know that
The surface area of a rectangular prism is equal to
where
B is the area of the base of the prism
P is the perimeter of the base of the prism
h is the height of the prism
Part 1) Find the surface area of the rectangular prism
Find the area of the base B
Find the perimeter of the base
we have
substitute the values in the formula of surface area
Part 2) Find the surface area of the rectangular prism
Find the area of the base B
Find the perimeter of the base
we have
substitute the values in the formula of surface area
Part 3) Find the surface area of the rectangular prism
Find the area of the base B
Find the perimeter of the base
we have
substitute the values in the formula of surface area
Part 4) Find the surface area of the triangular prism
Find the area of the triangular base B
---> the area of triangle
Find the perimeter of the triangular base
we have
substitute the values in the formula of surface area
Part 5) Find the surface area of the triangular prism
Find the area of the triangular base B
---> the area of triangle
Find the perimeter of the triangular base
we have
substitute the values in the formula of surface area
Part 6) Find the surface area of the triangular prism
Find the area of the triangular base B
---> the area of triangle
Find the perimeter of the triangular base
we have
substitute the values in the formula of surface area
Part 7) we know that
The surface area of a cube is equal to the area of its six square faces
where
b is the length side of the cube
we have
substitute
therefore
Your friend is not correct
The surface area of the cube is
Part 8) we know that
The surface area of a cube is equal to the area of its six square faces
where
b is the length side of the cube
we have
substitute
Part 9) Find the surface area of the rectangular prism (shipping crate)
Find the area of the base B
Find the perimeter of the base
we have
substitute the values in the formula of surface area