16.find the volume of the square pyramid shown. round to the nearest whole number. The diagram Is not drawn to scale.
A-11,760 ft.³
B-17,052 ft.³
C-5600 ft.³
D-11,774 ft.³

16find the volume of the square pyramid shown round to the nearest whole number The diagram Is not drawn to scale A11760 ft B17052 ft C5600 ft D11774 ft class=

Respuesta :

17,052
1/3* B*h is the the formula

Answer:

B-17,052 ft.³

Step-by-step explanation:

Since, the volume of a right square pyramid is,

[tex]V=\frac{1}{3}a^2(h)[/tex]

Where, a is the base edge,

h is the slant height

Here, by the diagram,

a = 42 ft,

h = 29 ft,

Thus, the volume of the given pyramid is,

[tex]V=\frac{1}{3}(42)^2(29)[/tex]

[tex]=\frac{1}{3}(1764)(29)[/tex]

[tex]=\frac{51156}{3}[/tex]

[tex]=17052\text{ cube ft}[/tex]

Hence, option B is correct.