Can Someone Please Help Me With These Math Problems!!!?
2. The volumes of two similar pyramids are 27 and 64. If the smaller has lateral area of 18, find the lateral area of the larger. (Hint: Apply Theorem 12-11)
3. True or False The height of a right cylinder with radius 5 and volume 100 is Pie divided by 2.
Can you please show me how to work these problems out?? Thank you!
Favorite Answer
1. Imagine in your head what would it be like if you open a cardboard box (cube shaped) – how many squares will you see? – well you’ll have 4 sides, a top and a bottom right? – that’s 6 squares. Now if an edge is 4 then the area of 1 square is 4*4=16. and the total area is 6 of these so 16*6=96.
2. I am not sure what is theorem 12-11, but anyway: The volume of a pyramid is it’s base area times its height, divided by 3 (so if the edges of the base are a, b – then it’s (a*b*h)/3
Now we can find the h of the small one because we know the volume and the base area so 18*h/3 = 27 –> h=4.5
Now we take that h=4.5 and plug it in the formula for the bigger pyramid:
area-of-pyramid-to-find * 4.5 / 3 = 64
and therefore the answer is 64*3/4.5 = 42.6667
3. Let’s see – the volume of a cylinder is area*height = pi*r^2*h=100; pi*5*5*h=100; pi*h=4 –> h=4/pi
I guess it’s FALSE.
Try to think the problems through and don’t give up immediately. Once you do – you’ll see it’s all easy.
2. no idea
3. no idea
good luck…
She’ll explain it to you. I’d try to explain it, but it’d be kind of hard to put into writing so you’ll understand.
Or ask your teacher,
2.) 56
3.) false
good luck with that.
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