Question 4 a)

This object has been constructed from centimeter cubes. Calculate the surface area.

One way to calculate surface area is to draw a net. The net for this object would look like this:



As you can see, we have a bunch of rectangles. The formula for area of a rectangle is lxw (length times width).

Top 1:
a=lxw
=1x5
=5cm2 (5 squared centimeters)

Back:
a=lxw
=4x5
=20cm2

Bottom:
a=lxw
=2x5
=10cm2

Top 2:
a= lxw
=1x5
=5cm2

Front 2:
a=lxw
=2x5
=10cm2

Top 2:
a=lxw
=1x5
5cm2

Front 1:
a=lxw
=2x5
10cm2

Side 1: (We can just count the squares)

6cm2

Side 2:

6cm2

Total surface area is the sum of the area of all the surfaces.

TSA= 2(5)+3(10)+2(6)+20
=10+30+12+20
=72cm2

The total surface area of the object is 72cm2 (72 squared centimeters).

Thanks for reading! PLEASE COMMENT!!!

~Laura