Thursday, 20 November 2014

Volume and Area Work

Cube:
I've drawn a cube which is 4cm by 4 cm.
4cm x 4cm

Volume: 4 x 4 x 4 = 64cm^3
Area of one face: 4 x 4 = 16cm^2
Surface Area: 6 x 4^2 = 96cm^2

Cuboid on the screen:
L=27, W=37, H=14

Volume: 27 x 37 x 14 = 13,986cm^3
Area of one face: 27 x 37 = 999cm^2
Surface Area: 6 x (27x37) = 5994cm^2

Cylinder on the screen:
d= 20cm r = 10cm h=25cm
π
r
2
h

Volume = (3.14 x 10^2) x 25 = 7850
(I rounded pi to 3.14 so the result is not exact to the decimal point.)
Area of one circle face: 314

Cuboid:
L =24cm, W =18cm, h=15cm

24 x 18 x 15 = 6480cm^3

Small box:
L=8cm, W = 6cm, H= 5cm

8 x 6 x 5 = 240cm^3

How many small boxes can fit in the large box?
6480 / 240 = 27 boxes.

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