Question author, it's spelled pi not pie, and we use just use the Greek letter π. Students, demand better from your teachers.
1. Rectangular prism, aka a box. Volume is length times width times height.
V = 5×7×9 = 315 cubic feet
That's cubic feet of course, the product of three lengths. We didn't even need to do the problem, just look for the common answer and pick the one with the right units. I just saw that same pattern in a volume problem yesterday.
Answer: 315 cubic feet, first choice
2. Cylinder, volume is base area times height, πr²h. We have a radius of r=14/2=7 yd and h=8 yd. We're using π=3.14.
V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds
Answer: 1230.9 cubic yards, last choice
6.
Since, function I stated that hours, h, pertains to the hours after 6am, and the question asks what is the temperature by 2pm, we will have h=8 because 2pm is 8 hours after 6am.
So,
so the answer is (3), 67.
It's a bit hard to do a model on here, but I'll try to represent it. Note that the "a"s are the shaded parts and the "b"s are the non-shaded parts.
a a a
a a a
a a a
b b b
b b b
There are 9/15 shaded.
You wanna write an equation to find out what the two lengths will be. Because the string in 17 feet the equation has to equal 17. Then for the shorter length you need to symbolize it with a variable (x). For the longer side it is the smaller number plus five(x+5).
Therefore, the equation is x+(x+5)=17
from there you get x= 6ft which leaves the longer side equaling 11ft