Find the volume of a regular quadrangular pyramid, the base side of which is 6 and the lateral edge √31.
| May 26, 2021 | education
Given:
base side = 6 cm
side rib = √31
Find: V (regular quadrangular prism).
Decision:
V (regular quadrangular prism) = 1/3 * S (main) * h;
1. Find the area of the base:
S (main) = 6 * 6 = 36;
2. Height of the prism = lateral rib = √31;
V (regular quadrangular prism) = 1/3 * 36 * √31 = 12 * √31
Answer: 12 * √31
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