Answer:
1: 1000 sq. ft.
2: you will need at least 4 gallons of paint.
3: you will need 2,400 cubic ft of water.
Step-by-step explanation:
(p.s. sorry its a bit long)
so we need to start by acknowledging that the pool's sides that will be painted are 5 out of the 6 surfaces.
since we will be painting the walls and floors of the pools we need to figure out their areas.
we know that area can be found by using the formula A=lw
so by implementing this into the measurements we need we can figure out how much area needs painting.
A = 4(20)
80sq. ft.
A = 4(20)
80sq. ft.
A = 4(30)
120sq. ft.
A = 4(30)
120sq. ft.
A = 30(20)
600sq. ft.
now we have all our measurements (notice how I only used the last measurement once)(its because we won't be painting the top and bottom of the pool since the pool has no "top")
by adding all of them together you can figure out how much area is going to be painted.
80 + 80 + 120 + 120 + 600 = 1000sq. ft.
now we know that a total of 1000sq. ft. is going to be needing paint
leading us to the next question how many gallons of paint will we need
we know that 1 gallon will paint 300 but we need to paint 1000
so let's say we get three gallons of paint, which should cover 900sq. ft. but we still need a bit more
so we can say we will need at least 3.5 gallons of paint if we want a whole number we can say we will need at least 4 gallons of paint.
ok last but not least we need to figure out how much water we will put in the pool so in order to figure this one out all we have to do is use the formula for volume
which is
V = lwh (volume = length times width times hight)
so substitute the letters with number
V = (30)(20)(4)
now multiply all of them together
Our answer for this one will be
2,400 cubic feet
ok so basically one important thing to remember is when we talk abt surface area or area in general in math they use squared (sq.)(^2) but when we are talking abt volume we are supposed to use cubic (^3) and then we finish with the type of measurement we are using, for example, ft (feet) cm (centimeter), etc...
alrighty, thank you hopefully this helps u understand better.
