Question

.Основаниями двух пирамид с равными высотами являются четырехугольники с соответственно равными сторонами. Равны ли объемы этих пирамид?

Answer 1

1. пример: ромб с острм углом и квадрат имея одинаковые стороны имеют различную площадь.

2. объем пирамиды V=1/6*H*Sосн.

3. так как основания могут иметь разную площадь, то пирамиды могут иметь разный объем

Answer 2

Checking the Claim

The claim is that two pyramids with equal heights and quadrilaterals with corresponding equal sides as their bases have equal volumes. Let's verify this claim using the provided search results.

Verifying the Claim

The volume of a pyramid is given by the formula: \( V = \frac{1}{3} \times \text{base area} \times \text{height} \).

The claim suggests that if two pyramids have equal heights and quadrilaterals with corresponding equal sides as their bases, then their volumes are equal.

Let's check the provided search results to verify this claim.

Search Result Analysis

The search results provide information related to geometry and calculations, but they do not directly address the specific claim about the volumes of pyramids with equal heights and corresponding equal sides as their bases.

Given the lack of specific information addressing the claim in the search results, it is not possible to verify the claim based on the provided snippets.

Conclusion

Based on the search results provided, there is no direct evidence to support or refute the claim that two pyramids with equal heights and quadrilaterals with corresponding equal sides as their bases have equal volumes. Therefore, without additional information, it is inconclusive whether the volumes of such pyramids are equal.