Calculate the volume #4 Answer Key. 1.05m 55cm It’s a Box! V= L x W x T = 1.05m x 55cm x 55cm...
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Transcript of Calculate the volume #4 Answer Key. 1.05m 55cm It’s a Box! V= L x W x T = 1.05m x 55cm x 55cm...
Calculate the volume #4
Answer Key
1.05m
55cm
55 cm
It’s a Box!
V= L x W x T
V = L x W x T
= 1.05m x 55cm x 55cm
Whoops, won’t work – the units don’t match. A little King Henry and change it to
= 105cm x 55cm x 55cm
Ballpark 100 x 50 x 50 = 250 000
= 317 625 cm3
28.8 cm
35.2cm
18cmIt’s a Box!
V= L x W x T
V = L x W x T
= 35.2cm x 28.8cm x 18cm
Ballpark 30 x 30 x 20 = 18 000
= 18 247.68 cm3
52mm
4.2cm
20.2cm
It’s a Box!
V= L x W x T
V = L x W x T
= 20.2cm x 52mm x 4.2cm
Whoops, won’t work – the units don’t match. A little King Henry and change it to
= 20.2cm x 5.2cm x 4.2cm
Ballpark 20 x 5 x 4 = 400
= 441.17 cm3
30cm
38 cm
5cm
It’s a Triangle (a box cut diagonally in halfSoooo…
V= L x W x T /2
V = L x W x T /2
= 38cm x 30cm x 5cm
Ballpark 40 x30 x 5 = 6000
= 5 700 cm3
8dm diameter
It’s a Sphere!
V= 4/3 π r3
V= 4/3 π r3
= 4/3 x 3.14 4dm x 4dm x 4dm (r3 = r x r x r)
Ballpark 4/3 x 3 x 4 x 4 x 4 = 256
= 267.94 dm3 (look at that unit!)
Remember that the radius is half the diameter.
20cm
75mm
It’s a Cylinder
V= π r2h
V= π r2h
= 3.14 x 75mm x 75mm x 20cm
Whoops, won’t work – the units don’t match. A little King Henry and change it to
= 3.14 x 75mm x 75mm x 200mm OR
= 3.14 x 7.5cm x 7.5cm x 20cm
It doesn’t matter which way, one will give an answer in mm3 and one will give cm3
Ballpark 3 x 7 x 7 x 20 = 2940
= 3532.5 cm3
15 m
55 m
It’s a Cylinder
V= π r2h
V= π r2h
= 3.14 x 27.5m x 27.5m x 15m
Ballpark = 3 x 30 x 30 x 10 = 27 000
= 35 619.375 m3
19.5cm
6.5 cm
It’s a Cylinder
V= π r2h
V= π r2h
= 3.14 x 3.25cm x 3.25cm x 19.5cm
Ballpark = 3 x 3 x 3 x 20 = 540
= 646.74cm3
980 mm
9cm
It’s a Cylinder
V= π r2h
V= π r2h
= 3.14 x 4.5cm x 4.5cm x 980mm
Whoops, won’t work – the units don’t match. A little King Henry and change it to
= 3.14 x 4.5cm x 4.5cm x 98.0cm
Ballpark 3 x 5 x 5 x 100 =7500
= 6231.22 cm3
Dia = 2.5mm It’s a Sphere!
V= 4/3 π r3
V= 4/3 π r3
= 4/3 x 3.14 1.25mm x 1.25mm x 1.25mm (r3 = r x r x r)
Ballpark 4/3 x 3 x 1 x 1 x 1 = 4
= 8.18 mm3 (look at that unit!)
25.2 cm dia
35.5cm
19.5cm
It’s a Sphere on top of a cone!
V= 4/3 π r3 for the sphere
and V=1/3 π r2 h for the cone
There’s one more page!
Sphere V= 4/3 π r3
= 4/3 x 3.14 x 12.6cm x 12.6cm x 12.6cm
Ballpark 4/3 x 3 x 10 x 10 x 10 = 4000
= 8374.9 cm3
Cone V=1/3 π r2 h
= 1/3 x 3.14 x 9.75cm x 9.75cm x 35.5cm
Ballpark 1/3 x 3 x 10 x 10 x 30 = 3000
= 3532.2 cm3
Now add together the Sphere and the cone!
8374.9 cm3 + 3532.2 cm3
= 11 907.1cm3
Consider this a secret extra page – don’t tell anyone about it!!!! If you print out JUST THIS PAGE and solve the problem, I will give you extra credit for your effort!
I found this cool box and I want to fill it with M&M’s to send to my brother. What would be the total volume of this box?
You might find it helpful to sketch the box on the back of the paper to make it easier to break it into parts - try drawing it as if you were looking at the end of the box.
30cm20cm
15cm
25cm25cm
Name: ____________________ Science Pd _______
EXTRA EXTRA CREDIT If an M&M takes up about .8cm3 of space, roughly how many would fit in the box?