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galina1969 [7]
2 years ago
15

Find the surface area of composite figure. Please help

Mathematics
1 answer:
Ivan2 years ago
8 0

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}

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