A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An obligue rectangular prism
has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?
A. Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are
also equal.
B. Yes, because the figures are congruent.
C. No, because the cross-sectional areas are not the same.
D. No, because only the bases have the same area, not every cross section at every level parallel to the
bases

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let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a