a) Write the formula for the surface
area of a cube, with edge length
c units.
b) Write the formula for the surface
area of a rectangular prism with
dimensions l units by w units by
h units.
c) How can you get the formula for
the surface area of a cube from
the formula for the surface area
of a rectangular prism? Use
pictures in your explanation.
Answers
a. surface area of cube = 6c
surface area of a cube = 6(side)²
Step-by-step explanation:
formula for the surface area of a cube, with edge length c units. = 6c² sq unit
formula for the surface area of a rectangular prism with dimensions l units by w units by h units. =2( lw + wh + lh) sq units
surface area of a cube from the formula for the surface area of a rectangular prism
cube has all edges equal let sat l = w = h = c
now put this in 2( lw + wh + lh)
= 2( c.c + c.c + c.c)
= 2(c² + c² + c²)
= 2(3c²)
= 6c²
= formula for the surface area of a cube
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