Answer:
B
Step-by-step explanation:
The volume (V) of a pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] area of base × perpendicular height (h)
area of square base = 12 × 12 = 144 units² and h = 8, hence
V = [tex]\frac{1}{3}[/tex] × 144 × 8 = [tex]\frac{1152}{3}[/tex] = 384 units³ → B
Volume of the pyramid is equal to [tex]384 \ unit^{3}[/tex].
" Volume is defined as the total space occupied by any three- dimensional object enclosed in it."
Formula used
Volume of a pyramid [tex]= \frac{1}{3} \times Area \ of \ the \ base \times height[/tex]
Area of a square [tex]= s^{2}[/tex]
[tex]s=[/tex] Side length
According to the question,
Given dimensions of pyramid,
Height of the pyramid [tex]= 8 \ units[/tex]
Base of the pyramid is square in shape
Side length of a square [tex]= 12 \ units[/tex]
Substitute the value in the formula to get the area of the base,
Area of the base [tex]= 12 \times 12[/tex]
[tex]= 144 \ units^{2}[/tex]
Substitute the value to get the volume of the pyramid,
Volume of the pyramid [tex]= \frac{1}{3} \times 144 \times 8[/tex]
[tex]= 48 \times 8\\\\= 384 \ units^{3}[/tex]
Hence, Option(B) is the correct answer.
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