To use the volume formula for a pyramid, we need the height or altitude, and the area of the base. Given that the volume is 585 cm3, the width is 15 cm, and the altitude is 9 cm, we can calculate the area of the base as follows:
Volume of a pyramid = (1/3) * base area * altitude
585 cm3 = (1/3) * base area * 9 cm
Base area = (585 cm3 * 3) / (9 cm)
Base area = 195 cm2
Now, let's assume the length of the base is "x" cm. Since the base is a rectangle, and its width is given as 15 cm, we can write:
Area of the base = length * width
195 cm2 = x * 15 cm
Simplifying the equation:
x = 195 cm2 / 15 cm
x = 13 cm
Therefore, the length of the base of the pyramid is 13 cm.
Use the volume formula to determine the length of the base of a pyramid that has a volume of 585 cm3 , a width of 15 cm, and an altitude of 9 cm.(1 point) Responses
1 answer