Question

I need help please!!!!!

Answer 1

Answer:

48 ft^3

Solution,

$b = 6 \: ft \\ h = \sqrt{ {5}^{2} - {3}^{2} } \\ \: \: \: \: \: = \sqrt{25 - 9} \\ \: \: \: \: \: = \sqrt{16} \\ \: \: = \sqrt{ {4}^{2} } \\ \: \: \: \: = 4$

Now,

$volume = \frac{1}{3} bh \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times {6}^{2} \times 4 \\ \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times 36 \times 4 \\ \: \: \: \: \: \: \: \: \: \: \: = 48 \: {ft}^{3}$

hope this helps...

Good luck on your assignment..

Answer 2

Answer:

Volume = 48 ft³

Step-by-step explanation:

Finding h first by Pythagorean Theorem:

=> $c^2= a^2+b^2$

=> $5^2= 3^2 + h^2$

=> $h^2 = 25-9\\h^2 = 16$

Taking sqrt on both sides

=> h = 4 ft

Now, The volume:

=> Volume = $a^2\frac{h}{3}$

=> Volume = $(6)^2\frac{4}{3}$

=> Volume = $36 \frac{4}{3}$

=> Volume = 12 * 4

=> Volume = 48 ft³