Use the image to answer the question.
A rectangular pyramid is of height 6 mi. and the base of the front face is labeled blank mi. The base of the right face is labeled 7 mi. The base is shaded.
This pyramid has a volume of 154 mi.3 . Find the missing measure of the image.
(1 point)
mi.
The missing measure of the image is 11 mi.
To find this, we can use the formula for the volume of a rectangular pyramid, which is (1/3) * base area * height.
We know the height is 6 mi and the volume is 154 mi^3. We can set up the equation:
(1/3) * base area * 6 mi = 154 mi^3
To find the base area, we need to multiply the length of the base of the front face (which is missing) by the length of the base of the right face (7 mi).
(1/3) * (missing) * 7 mi * 6 mi = 154 mi^3
Simplifying the equation:
2 * (missing) = 154 mi^3
(missing) = 154 mi^3 / 2
(missing) = 77 mi
Therefore, the missing measure of the image is 11 mi.