Question

Find the surface area of composite figure. Please help

Answer 1

190

Explanation:

Answer 2

The surface area of the composite figure is
`410\ m^(2)`

Explanation:

we know that

The surface area of the composite figure is equal to the surface area of the rectangular prism of the bottom plus the lateral area o the rectangular prism of the top

so

Step 1

Find the surface area of the rectangular prism of the bottom

The surface area is equal to

`SA=2B+Ph`

Find the area of the base B

`B=10*10=100\ m^(2)`

`P=4*10=40\ m`

`h=3\ m`

substitute

`SA=2(100)+40(3)=320\ m^(2)`

Step 2

Find the lateral area of the rectangular prism of the top

The lateral area is equal to

`LA=Ph`

`P=2*(4+5)=18\ m`

`h=5\ m`

substitute

`LA=18(5)=90\ m^(2)`

Step 3

Find the surface area of the composite figure

`320\ m^(2)+90\ m^(2)=410\ m^(2)`