Tuesday, April 18, 2006

Surface Area and Volume Problems

More problems

Try these problems to improve your volume and surface area knowledge.

Here is some great advice for problem solving and volume.

Problem 1 (Easy)
1. How much cement is needed to build a sidewalk that is one thousand, one hundred twenty metres long, four metres wide and fifty centimetres thick? Round your answer to the nearest cubic metre.

Problem 2 (harder)
2. Mr. Bloop has a cylindrical water tank on his farm. It is three metres long and 60 centimetres in diameter. Water flows out a valve in the bottom of the tank at a rate of 0.8 cubic metres per second. How long will it take the tank to empty?

Problem 3 (easy)
3. If you have five 5 cm by 5 cm x 5 cm aluminum cubes and superglue them together in a row, what is the surface area of the resulting shape made by the five cubes?

Choose 2 or 3 of these problems and answer them in a comment of create a post at your blog site and call it Volume and Surface Area Questions.

You can answer any of the other problems on this site in the same post. Please try as many as you can. Good luck

Harbeck




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26 Comments:

At 6:11 PM, Blogger Rebecca G 8-17 said...

question 3
5(5)=25
there r 6 sides so you can times this by 6.
25(6)=150
this is how big 1 cube is.
u have 5 cubes so multiply by 5.
150(5)=750
8 sides r covered so u have to subtract those sides.
750-200=550

i already did 1 of the other questions so i only have to do 1 right? i did the question about the size of the house

 
At 6:22 PM, Blogger jL said...

This comment has been removed by a blog administrator.

 
At 6:44 PM, Blogger jmanila said...

(Pi)(r)(r)
3.14 (30) (30)
3.14 (900)
2826(3)
8478/.8
10597.5 seconds
10597.5/60
176.625 minutes
176.625/60
2.94375 hours

1 cube = (5)(5)(6)
(25)(6)
150 cm squared
5 cubes = (150)(5)
750 cm squared
since 4 sides are covered, you would have to subtract 200 because 1 side would equal 50 and 50 times 4 is 200
750 - 200 = 550
the answer is 550 cm squared

 
At 6:45 PM, Blogger Mr. H said...

A picture would be worth a thousand words!!

 
At 7:05 PM, Blogger himynameisingrid said...

This comment has been removed by a blog administrator.

 
At 7:11 PM, Blogger Stephanie8-73 said...

This comment has been removed by a blog administrator.

 
At 7:25 PM, Blogger Stephanie8-73 said...

1] How much cement is needed to build a sidewalk that is one thousand, one hundred twenty metres long, four metres wide and fifty centimetres thick? Round your answer to the nearest cubic metre.

50x4x1120
=224000cm3 =D

3] If you have five 5 cm by 5 cm x 5 cm aluminum cubes and superglue them together in a row, what is the surface area of the resulting shape made by the five cubes?


Box 1=125
box 2=125
box 3= 125
box 4=125
box 5=125

5x5=25
25x5
125x5=625cm2 x)=D

 
At 8:09 PM, Blogger Megs said...

3. If you have five 5 cm by 5 cm x 5 cm aluminum cubes and superglue them together in a row, what is the surface area of the resulting shape made by the five cubes?
5(5)=25
There are 6 sides so you times 25 by 6.
25(6)=150
There are 5 cubes in this question. So you have to times 150 by 5.
150(5)=750
there are 8 sides covered. Therefore you have to subtract those sides.
750-200=550

 
At 8:10 PM, Blogger Megs said...

So I did get the extra marks for doing this blog right?????? Well I hope
so!!!!!

 
At 8:16 PM, Blogger Mest_Aldrin said...

look at my blog post for my answers

 
At 8:25 AM, Blogger dilleybar said...

Problem 1 (Easy)
1. V= base x height x altitude
V=1120 x 4 x.5
V=1120 x 2
V=2240 cm cubed


Problem 3 (easy)
3. If you have five 5 cm by 5 cm x 5 cm aluminum cubes and superglue them together in a row, what is the surface area of the resulting shape made by the five cubes?

Rectangle Pattern A
A=lxw
A=25x5
A=125 cm squared
x4= 500 cm 2

Rectangle Pattern B
A=lxw
A=5 x 5
A=25 cm squared
x2=50 cm squared

TSA=500+50=550 cm squared

I did this one and I did the other ones already where your grammar was terrible

 
At 11:28 AM, Blogger jL said...

2. Mr. Bloop has a cylindrical water tank on his farm. It is three metres long and 60 centimetres in diameter. Water flows out a valve in the bottom of the tank at a rate of 0.8 cubic metres per second. How long will it take the tank to empty?

(Pi)(r)(r)
3.14 (30) (30)
3.14 (900)
2826(300)
847800 X .8
678240 cm per seconds

3. If you have five 5 cm by 5 cm x 5 cm aluminum cubes and superglue them together in a row, what is the surface area of the resulting shape made by the five cubes?

1 cube = (5)(5)(6)
(5)(5)(6) because the 6 sides are already all the same
(25)(6)
150 cm squared
5 cubes = (150)(5)
750 cm squared
since 4 sides are covered, you would have to subtract 200 because 1 side would equal 50 and 50 times 4 is 200
750 - 200 = 550
the answer is 550 cm squared
Got Help For Aldrin thx ..... i rox

 
At 5:46 PM, Blogger Allysha8-73 said...

This comment has been removed by a blog administrator.

 
At 5:50 PM, Blogger Allysha8-73 said...

I'm not sure if I'm suppose to put this here and if it's too late but here are my answers for that test thing that said sumthin bout going to taking ur math 2 the next level thing:


1.
The cement needed is 523.30 (I think)
1120x50=550
1120x4=4480 {=5230
4x50=200


3. The surface area is 300 cm3
15x5=75 10x5=50
15x5=75{=175 10x5=50{=125
5x5=25 5x5=25

175+125=300

 
At 8:02 PM, Blogger himynameisingrid said...

Check 873 for my repost

 
At 8:59 PM, Blogger Marcio 8-17 said...

This comment has been removed by a blog administrator.

 
At 9:01 PM, Blogger Marcio 8-17 said...

This comment has been removed by a blog administrator.

 
At 9:05 PM, Blogger Marcio 8-17 said...

Question 1:
(I made a square pic for the comments, so steal it if your lazy)

"1. How much cement is needed to build a sidewalk that is one thousand, one hundred twenty metres long, four metres wide and fifty centimetres thick? Round your answer to the nearest cubic metre."

..___________
./0000000000/|
/0000000000/ |4 m
|0000000000| |
|0000000000| /
|__________|/ 50 m
1120 m

1120 x 4 = 4480 m
4480 x 50 = 224000 meters cubed

Question 3

"3. If you have five 5 cm by 5 cm x 5 cm aluminum cubes and superglue them together in a row, what is the surface area of the resulting shape made by the five cubes?"

.._________
./00000000/|
/________/ |5 cm
|00000000| |
|00000000| /
|________|/ 5 cm
5 cm

5 x 5 x 6 sides = 150 cm


That's one cube, so you multiply that by 5

150 x 5 = 750

But your only counting the sides seen, so you minus the sides not seen. The sides are all 25, so you minus 25 for each side.

8 sides = 200

750 - 200 = 550 cm squ.

RUBIX CUBE OWNS.

 
At 9:48 PM, Blogger Helen816 said...

question 1-
L x W = B
(1120 x 4 = 4480)

B = 4480

B x H = V
(H = 50 cm = .5 m)
4480 x .5
=2240 m³

that is how much cement is needed to build the sidewalk.

 
At 11:09 PM, Blogger kEVIN said...

QUESTION 1. How much cement is needed to build a sidewalk that is one thousand, one hundred twenty metres long, four metres wide and fifty centimetres thick ? Round your answer to the neaarest cubic metre

V=LxWxH
=1120x4x50
=224000 meters cube

QUESTION 3. If you have five 5cm by 5cmx5cm aluminum cubes and superglue then together in a row, what is the surface area of the resulting shape made by the five cubes?

go to my blog post thingy cuz i did a picture for this one

 
At 5:30 PM, Blogger Helen816 said...

Problem 3 (easy)
If you have five 5 cm by 5 cm x 5 cm aluminum cubes and superglue them together in a row, what is the surface area of the resulting shape made by the five cubes?

To find a side of a cube you would have to multiply 5 x 5 which equals 25 and since a cube has 6 sides you would then multiply 6 x 25 which equals 150. We now have one cube's surface area. since theres five cubes, multiply 5 x 150 which equals 750. Since it's superglued together you would have to subtract the sides that were superglued. 8 sides are superglued together...doing the math like so, one side = 25 so 25 x 8 = 200, so subtract 200 from 750... and then that would result of a total of 550 cm². YAY (: there! the surface area of the 5, 5 by 5 cubes superglued together is 550 cm².

 
At 1:38 PM, Blogger Becky said...

3. If you have five 5 cm by 5 cm x 5 cm aluminum cubes and superglue them together in a row, what is the surface area of the resulting shape made by the five cubes?

5 x 5 = 25 (6 sides) 25x 6 =150
(5cubes) 5 x 150= 750
(8 sides covered) 8 x 25 = 200
750 - 200 = 550


the answer is 550

 
At 4:20 PM, Blogger Becky said...

1. How much cement is needed to build a sidewalk that is one thousand, one hundred twenty metres long, four metres wide and fifty centimetres thick? Round your answer to the nearest cubic metre.



multiply the three sides together:

1120 x 4 x 50 = 224000cm3

 
At 4:20 PM, Blogger Becky said...

This comment has been removed by a blog administrator.

 
At 11:27 PM, Blogger k.santos8-17 said...

Question 1) A box is of size 8cm x 4cm x 3cm. Find the volume of the box.

V= LxWxH
V= 8x4x3
V= 32x3
V= 96 cm3

Question 2) A block is of size 80cm x 30cm x 50cm. Find the volume of the block

V= LxWxH
V= 80x30x50
V= 2400x50
V= 120000 cm3

 
At 11:27 PM, Blogger k.santos8-17 said...

Question 1) A box is of size 8cm x 4cm x 3cm. Find the volume of the box.

V= LxWxH
V= 8x4x3
V= 32x3
V= 96 cm3

Question 2) A block is of size 80cm x 30cm x 50cm. Find the volume of the block

V= LxWxH
V= 80x30x50
V= 2400x50
V= 120000 cm3

 

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