Use the volume formula for a rectangular pyramid to find the missing length. Damon is building a new statue in the shape of a rectangular pyramid. It needs to be 3 feet tall, 4 feet wide, and have a volume of 32 cubic feet. How long does the pyramid statue need to be?(1 point)

Question

Responses

32 feet
32 feet

384 feet
384 feet

8 feet
8 feet

96 feet

Answer 1

To find the missing length of the rectangular pyramid, we can rearrange the volume formula:

Volume = (1/3) * base area * height

Given that the volume is 32 cubic feet and the height is 3 feet, we can substitute these values into the formula:

32 = (1/3) * base area * 3

Next, we can divide both sides of the equation by 3 to isolate the base area:

base area = 32 / 3

Now, since we know that the width of the pyramid is 4 feet, we can use the formula for the area of a rectangle to find the length of the base:

base area = length * width

Substituting the given values, we have:

32 / 3 = length * 4

To solve for the length, we can divide both sides of the equation by 4:

(32/3) / 4 = length

simplifying further, we have:

8/3 = length

Therefore, the pyramid statue needs to be 8/3 feet long (or approximately 2.67 feet).

So the correct answer is 8 feet.