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Iteru [2.4K]
3 years ago
14

The prism below has a volume of 21 cubic units.The base is a right triangle with legs that have lengths of 2 units and 3 units,F

ind the height of the prism
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

The height of the prism is 7 unit  

Step-by-step explanation:

Given as :

The volume of right triangle prism = v = 21 cubic unit

The length of one base = b_1 = 2 unit

The length of other base = b_2 = 3 unit

Let The height of the prism = h unit

<u>Now, According to question</u>

Volume of prism = \dfrac{1}{2} ×  b_1 ×  b_2× height

Or, v =  \dfrac{1}{2} ×  b_1 ×  b_2× h

Or, 21 cubic unit =  \dfrac{1}{2} × 2 unit × 3 unit × h unit

Or, 21 =  \dfrac{1}{2} × 6 × h

Or, 21 = 3 × h

∴   h = \dfrac{21}{3}

i.e h = 7 unit

So,The height of the prism = h = 7 unit

Hence, The height of the prism is 7 unit  Answer

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