Find the surface area of the rectangular prism above using its net below

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

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

linear pair postulates