If the base area of a regular quadrangular prism is 9 and the side edge is 10, then the total surface

If the base area of a regular quadrangular prism is 9 and the side edge is 10, then the total surface area of the prism is equal.

Sbn = 9.

d = 10.

Floor -?

A regular quadrangular prism is called a rectangular parallelepiped, at the base of which is a square, and the side faces are rectangles.

The total surface area Spol is determined by the formula: Spol = 2 * Sb + 4 * S side, where Sb is the area of the base, Sb is the area of the side face.

Sosn = a ^ 2, where a is the side of the square of the base.

a = √Sim.

Sside = a * d, where d is a side rib.

Sside = d * √Sim.

Spol = 2 * Sbn + 4 * d * √Sbn.

Floor = 2 * 9 + 4 * 10 * √9 = 138.

Answer: the total surface area S floor of a regular quadrangular prism is S floor = 138.



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