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Boxes. On 1 cm square paper, draw this net. Cut it out. Work out the perimeter of the net in centimetres. Perimeter =. 3 +. 2 +. 2 +. 2 +. 2 +. 2 +. 3 +. 2 +. 2 +. 2 +. 2 +. 2 =. 26 cm. What is the area of the net in square centimetres ?. area = 6 + 6. + 4 + 4.
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Perimeter = 3 + 2 + 2 + 2 + 2 + 2 + 3 + 2 + 2 + 2 + 2 + 2 = 26 cm
area = 6 + 6 + 4 + 4 + 6 = 26 cm2 cm2 means square centimetres
Fold your net to make an open box. Tape it together. How many 1 cm cubes do you think will fit into the box?
12 cubes fit into the box. The box has a volume of 12 cubic centimetres
Look at this box 8 cm 3 cm 6 cm What is the volume of the box? What would be the area of a net used to make it?
volume = l x w x h = 8 x 6 x 3 = 144 cm3 8 cm 3 cm 6 cm area of net = 2wh + 2l h + l w = 2 (8 x 3) + 2(3 x 6) + (6 x 8) = 132 cm2
Find its perimeter Find its area Make the solid, find its volume End
Perimeter = 38 cm 5cm 3cm 5cm 3cm 3cm 3cm 3cm 5cm 3cm 5cm
bh 2 Area of = =6 cm2 3cm 6 cm2 5cm 3cm 4cm 3cm 15 cm2 9 cm2 3cm 12 cm2 6 cm2 Total area = 48 cm2
Volume of a prism = cross section area x length 3cm Area of cross section bh 2 = = 6 cm2 4cm 3cm Volume of a prism = cross section area x length Volume of the prism = 6 x 3 = 1 8 cm3