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Have to help my son with homework and neither of us have a clue how to do this kind of work please help he says we have to show our work and show the figures unfolded and labeled

Have To Help My Son With Homework And Neither Of Us Have A Clue How To Do This Kind Of Work Please Help He Says We Have To Show Our Work And Show The Figures Un class=

Sagot :

[tex]\begin{gathered} 1) \\ \text{surface area = Area 1+ Area }2+\text{ Area }3+\text{ Area }4+\text{ Area }5+\text{ Area }6 \\ \text{but } \\ \text{ Area 1}=\text{ Area }4 \\ \text{ Area }3=\text{ Area }6 \\ \text{ Area }2=\text{ Area }5 \\ \text{hence} \\ \text{surface area = 2Area 1+2 Area }2+\text{ 2Area }3 \\ \text{surface area = 2(Area 1+Area }2+\text{ Area }3) \\ \text{Area 1 =}5ft\cdot2ft=10ft^2 \\ \text{Area 2= 2ft}\cdot2ft=4ft^2 \\ \text{Area 3 = }5ft\cdot2ft=10ft^2 \\ \text{surface area = 2(}10ft^2\text{+}4ft^2+\text{ }10ft^2) \\ \text{surface area = 2(24}ft^2) \\ \text{surface area = }48ft^2 \\ \text{The surface area is }48ft^2 \\ \\ 2) \\ \text{surface area = Area 1+ Area }2+\text{ Area }3+\text{ Area }4+\text{ Area }5 \\ \text{but } \\ \text{ Area 1= Area }2 \\ \text{Area }3=\text{ Area }4 \\ \text{hence} \\ \text{surface area = 2Area 1}+\text{ 2Area }3+\text{ Area }5 \\ \text{surface area = 2(Area 1}+\text{ Area }3)+\text{ Area }5 \\ \text{Area 1=14cm}\cdot6\operatorname{cm}=84cm^2 \\ \text{Area 3 = }\frac{6\operatorname{cm}\cdot5.2\operatorname{cm}}{2}=15.6cm^2 \\ \text{Area 5=14cm}\cdot6\operatorname{cm}=84cm^2 \\ \text{surface area = 2(}84cm^2+\text{ }15.6cm^2)+\text{ }84cm^2 \\ \text{surface area = 283.2}cm^2 \\ \text{The surface area is 283.2}cm^2 \\ \\ 4) \\ \text{surface area = Area 1+ Area }2+\text{ Area }3+\text{ Area }4 \\ but\text{ } \\ \text{Area 1= Area }4=Area2 \\ \text{hence} \\ \text{surface area =3Area 1}+\text{ Area }3 \\ \text{Area 1 =}\frac{8\operatorname{cm}\cdot\text{ 7 cm}}{2}=28cm^2 \\ \text{Area }3\text{ =}\frac{8\text{ cm }\cdot8\text{ cm}}{2}=32cm^2 \\ \text{surface area =3(}28cm^2\text{)}+\text{ }32cm^2 \\ \text{surface area =116}cm^2 \\ \\ 6) \\ \text{surface area = Area 1+ Area }2+\text{ Area }3+\text{ Area }4+\text{ Area }5 \\ \text{but} \\ \text{Area 1= Area }2=\text{ Area }3=\text{ Area }4 \\ \text{hence} \\ \text{surface area = 4Area 1}+\text{ Area }5 \\ \text{Area 1 =}\frac{12ft\cdot10\text{ ft}}{2}=60ft^2 \\ \text{Area 5 = }12ft\cdot12ft=144ft^2 \\ \text{surface area = 4(}60ft^2\text{)}+\text{ }144ft^2 \\ \text{surface area = 384}ft^2 \\ \text{The surface area is 384}ft^2 \end{gathered}[/tex]

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