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lawyer [7]
3 years ago
12

find the volume of A trapezoid prism of height 4Km.The parallel sides of the base have length 8km and 5km. The other sides of th

e base are 2km each. The trapezoid altitude is 1.5km.
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

Volume of prism = 39 km cubed

Step-by-step explanation:

<u>IMPORTANT FORMULA: Volume of any prism = Area of base * Height </u>

<u />

In this case, <u><em>the area of the base</em></u> means <u><em>the area of the trapezoid. </em></u>

Area of trapezoid = base1+base2/2  * height

Area of trapezoid = 8+5/2  * 1.5

Area of trapezoid = 13/2  * 1.5 = 9.75

We already know that the height of the trapezoidal prism is 4 kilometers.

So, we have all of the values that are needed to correctly fill in the formula.

Volume of the prism = 9.75 * 4 = 39  

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