Respuesta :

TheAnimeGirl

Answer:

48 ft^3

Solution,

[tex]b = 6 \: ft \\ h = \sqrt{ {5}^{2} - {3}^{2} } \\ \: \: \: \: \: = \sqrt{25 - 9} \\ \: \: \: \: \: = \sqrt{16} \\ \: \: = \sqrt{ {4}^{2} } \\ \: \: \: \: = 4[/tex]

Now,

[tex]volume = \frac{1}{3} bh \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times {6}^{2} \times 4 \\ \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times 36 \times 4 \\ \: \: \: \: \: \: \: \: \: \: \: = 48 \: {ft}^{3} [/tex]

hope this helps...

Good luck on your assignment..

ujalakhan18

Answer:

Volume = 48 ft³

Step-by-step explanation:

Finding h first by Pythagorean Theorem:

=> [tex]c^2= a^2+b^2[/tex]

=> [tex]5^2= 3^2 + h^2[/tex]

=> [tex]h^2 = 25-9\\h^2 = 16[/tex]

Taking sqrt on both sides

=> h = 4 ft

Now, The volume:

=> Volume = [tex]a^2\frac{h}{3}[/tex]

=> Volume = [tex](6)^2\frac{4}{3}[/tex]

=> Volume = [tex]36 \frac{4}{3}[/tex]

=> Volume = 12 * 4

=> Volume = 48 ft³

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