Final answer:
To find the height of the pyramid, we can use the formula for the volume of a pyramid. Given the volume, length, and width of the base, we can substitute these values into the formula and solve for the height.
Step-by-step explanation:
To find the height of the pyramid, we can use the formula for the volume of a pyramid, which is given by:
Volume of pyramid = (1/3) x base area x height
Given that the volume is 42 in³ and the length of the base is 6 in and the width of the base is 3 in, we can substitute these values into the formula:
42 = (1/3) x (6 x 3) x height
Simplifying, we get:
42 = 6 x height
Dividing both sides by 6, we find that the height of the pyramid is 7 inches.