Hello

1a

Packaging of a potato chip 6cm

Volume of a single = 170cm cubed
Volume of cylinder = ∏r squared
Height= volume Divided by ( ∏r squared)
Height= 170cm divided by (∏ x 3 squared)
Height = 6.01 round of to 6cm

Allowing 1 extra cm for room

Top and bottom of cylinder = 6cm + 1cm = 7cm
Height= 6cm + 1cm = 7cm

Total surface Area= area of base + area of top + Area of circle

= (∏r squared) + (∏r squared) +( ∏ x Diameter x height)
= (∏ x 3.5 squared) +(∏ x 3.5 squared) +(∏ x7x7)
= 230.90cm cubed

1b

The net of package

2a

Packaging of corn chip

The length of the unknown side

Hypotenuse Squared = Length a squared + length b Squared
C squared = A squared + B squared
B squared = C squared - a squared
B squared = the square root of 7 squared - 4.45 squared B = 5.4cm

Volume of a single serve = 170 cm cubed
Volume of triangular prism = B x h divided by two Height = Volume divided by B x h divided by two Height = 170 divided by 5.4 x 4.45 divided by two Height = 14.15cm

Allowing 0.5cm for more room for chips

Sides of triangle become = 7 + 0.5cm, 4.45 + 0.5cm, 5.4 + 0.5cm = 7.5cm, 4.95cm, 5.9cm Height = 14.15cm + 1cm = 15.15cm

The total surface area of package

TSA = area of top of triangle + area of bottom triangle + area 1 + area 2 + area 3 = (5.9 x 15.15 divided by two) + (5.9 x 15.15 divided by two) + (7.5 x 15.15) + (4.95 x 15.15) + (5.4 x 15.15) = 449.2cm