If the base area of a regular quadrangular prism is 9 and the side edge is 10, then the total surface
July 7, 2021 | education
| 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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