A cube is removed from a rectangular prism. Find the surface area of the figure after removing the cube.

Step-by-step explanation:

Rectangular prism:

l =9 ft ;  w = 8  ft ; h = 5ft

Area1 = Surface area of rectangular prism without top  = lw + 2wh + 2lh

                                          = 9*8 + 2*8*5 + 2*9*5

                                         =  72 + 80 + 90

                                         = 242 sq.ft

Cube:

a = 5 ft

Area2 = Surface area of cube without top = 5a²

                                         = 5 *5²

                                         = 125 sq. ft

Area3 Surface area of the top = l*w - a²

                                       = 9*8 - 5²

                                       = 72 - 25

                                       = 47 sq.ft

Surface area of the figure after removing cube = area1 +area2 + area3

= 242 + 125 + 47

= 414 sq.ft

364 square feet.

Step-by-step explanation:

The other answer was incorrect and then it appeared that this is correct lol.

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation: