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8090 [49]
2 years ago
5

The diagram shows a trapezoid prism.

Mathematics
1 answer:
NikAS [45]2 years ago
8 0

Given:

The area of the cross-section is 55cm².

The volume of the prism is 330cm³.

To find:

The length of the prism.​

Solution:

We have,

Area of the cross-section = Area of base = 55 cm²

Volume of the prism = 330cm³.

Let x be the length(height) of the prism.

We know that,

\text{Volume of prism}=\text{Base area}\times height

330=55\times x

\dfrac{330}{55}=x

6=x

Therefore, the length of the prism is 6 cm.

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