Answer:
82cm²
See explanation below
Step-by-step explanation:
The question is incomplete without the diagram of the rectangular prism and it's dimensions. We are to determine the surface area of the rectangular prism using it's net.
I would show you how to determine it using diagram below.
Find attached the diagram used in solving the question as well as the net obtained from the diagram.
Solution:
A net diagram is a 2-dimensional representation of a 3-dimensional solid in which case the solid is unfolded.
The net gives the total area of the sides and faces of the 3 dimensional figure.
The units of the diagram used are all in cm.
Using net diagram:
Area A = Area B = length × height = hl
Area C = Area D = width × length= wl
Area E = Area of F = height × width = hw
surface area of the rectangular prism = 2(wl + hl + hw)
w = width = 2cm
l= length = 7cm
h = height = 3cm
Insert the values in the formular
A = 2(2×7 + 3×7 + 2×3)
A = 2(14+21+6)
A = 2(41) = 82cm²
Surface area of the rectangular prism = 82cm²