Answer:
147 yd^3
Explanation:
To find the volume of a pyramid, you need to use the formula:
Volume = (1/3) x base area x height
Since we're not given any information about the dimensions of the pyramid, we can't calculate the base area or height directly. However, we can use the given volume to eliminate some of the answer choices.
Let's substitute each of the answer choices into the formula and see which one gives a volume that is close to the given value of 147 yd^3.
For the first answer choice:
Volume = (1/3) x base area x height = (1/3) x base area x height = 147 yd^3
We don't know the base area or height, so we can't solve for them directly. However, we can simplify the expression by multiplying both sides by 3:
base area x height = 441 yd^3
So, if the product of the base area and height is 441 yd^3, then the volume of the pyramid would be 147 yd^3. We can eliminate the other answer choices because their product of base area and height do not equal 441 yd^3:
175 yd^3 = (1/3) x base area x height = 525 yd^3
221 yd^3 = (1/3) x base area x height = 663 yd^3
441 yd^3 = (1/3) x base area x height = 1323 yd^3
Therefore, the answer is 147 yd^3.