Respuesta :
Answer:
Option D. 18 in
Step-by-step explanation:
Since volume of a rectangular pyramid has a volume = 1512 in³
Height of pyramid = 12 in
Rectangular base having length = 21 in
we have to find the width of the base of pyramid.
Since volume of pyramid = [tex]\frac{1}{3}(area of base)(height)[/tex]
[tex]1512=\frac{1}{3}(21.b)(12)[/tex]
1512 = 4(21b)
1512 = 84b
[tex]b=\frac{1512}{84}=18 in[/tex]
Therefore width of the rectangular base of pyramid is 18 in
Option D is the answer.
Answer:
Option D.
Step-by-step explanation:
The volume of a rectangular pyramid is
[tex]Volume=\frac{1}{3}lwh[/tex]
where, l is the length of the base, w is the width of the base and h is the height.
It is given that
[tex]1512=\frac{1}{3}(12\times 21\times w)[/tex]
[tex]1512=84h[/tex]
Divide both sides by 84.
[tex]\frac{1512}{84}=w[/tex]
[tex]18=w[/tex]
The width of its base is 18 in. Therefore, the correct option is D.