What is the total surface area of the rectangular prism below?

solution given:

length[l]=3 in

breadth [b]=5in

height [h]=8in

total surface area of the rectangular prism=?

we have

total surface area of the rectangular prism

=2[lb+bh+lh]

=2[3*5+5*8+3*8]

=158 in²

total surface area of the rectangular prism is 158 in².

158

Step-by-step explanation:

formula is 2(hL+wh+lw)

Length- 3

width- 5

height - 8

Substitue values and get answer.

2 (24+ 40+15)

2 (79)

= 158

have a wonderful day!

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: