Find the surface area of the composite solid.
a.
680 in.2
b.
800 in.2
c.
920 in.2
d.
1,040 in.2

Option B. 800 in²

Step-by-step explanation:

We have to find the surface area of the composite solid.

This solid is made up of two solids, Rectangular prism and a right angle triangular prism.

Now we will calculate surface area separately.

Surface area of rectangular prism = 2(lw + hl + hw)

But one side of lw is hidden so formula will be = 2(lw +hl + hw) - lw

where h = height = 10 in

w = width = 12 in  

l = length = 10 in

Surface area of rectangular prism = 2(10×12 + 10×10 + 10×12) - 10×12

                                                        = 2(120 + 100 + 120) - 120

                                                        = 2(340) - 120 = 560 in²

Surface area of right angle triangular prism = 2(Rectangle sides)+ 2(triangular sides)

Surface area of triangular prism = 5×10 + 13×10 + 2(

                                                     = 50 + 130 + 60

                                                     = 240 in²

Now total surface area of the composite solid = surface area of rectangular prism + surface area of triangular prism

= 560 + 240 = 800 in²

Therefore, option B. 800 in² is the answer.

The mode of the age is 8 so their will be 3 birds with the age of 8 and 1 bird with the age of 14 and one bird with the age of  12 and another bird with the age of 10.

Step-by-step explanation: