A thin rectangular metal plate occupying the region 0
≤
x
≤
3
,
0
≤
y
≤
4
in the x-y plane has density
ρ
(
x
)
. Calculate the total mass of the plate.

300pi

step-by-step explanation:

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!