The prism is made up of 27 identical
cubes. What is the greatest possible surface area the prism
can have after removing 1 or more from the outside

  106 times the surface area of one cube face

Step-by-step explanation:

The maximum area will be achieved when all 27 cubes are strung together in one line. That is, the dimensions of the prism are 1 cube by 1 cube by 27 cubes.

When 1 cube is removed, the dimensions are 1×1×26, so will have an area of ...

  2(1×1 +26(1+1)) = 106 . . . face area units

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.