Question

Find the surface area of composite figure. Please help

Answer 1

Answer:

The surface area of the composite figure is $410\ m^{2}$

Step-by-step 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

$320\ m^{2}+90\ m^{2}=410\ m^{2}$