Which expression is represented by the phrase “the square of y decreased by quotient of 36 and 6”?

√y-6

Step-by-step explanation:

36/6=6

36 is the dividend, 6 is the divisor and 6 is the quotient.

48,128 m³

Step-by-step explanation:

The volume of the full shape is that of a pyramid. So the volume is V = Ah/3 where A = area of base and h = height.

Now for the full shape A = 64 m × 64 m and h = 36 m.

So, V = Ah/3 = 64 m × 64 m × 36 m/3 =  64 m × 64 m × 12 m = 49,152 m³

The volume of the cut section is V' = A'h'/3 since it is also a pyramid. Where  A' = area of base and h' = height.

For the cut section A' = 16 m × 16 m and h' = 12 m

So, V' = A'h'/3 = 16 m × 16 m × 12 m/3 = 16 m × 16 m × 4 m = 1,024 m³.

So, the volume of Rita's building is the difference between the volumes of the two sections.

So, the volume of Rita's building is V" = V - V' = 49,152 m³ - 1,024 m³ = 48,128 m³