To find the other dimension of the pyramid's base, we first need to find the area of the base. The formula for the volume of a pyramid is:
Volume = (1/3) * Base Area * Height
We can rearrange this formula to solve for the base area:
Base Area = Volume / ((1/3) * Height)
Base Area = 22,750 cm3 / ((1/3) * 65 cm)
Base Area = 22,750 cm3 / (21.67)
Base Area ≈ 1,051.25 cm2
Since one dimension of the base is 30 cm, we can find the other dimension by dividing the base area by the known dimension:
Other Dimension = Base Area / 30 cm
Other Dimension = 1,051.25 cm2 / 30 cm
Other Dimension ≈ 35.04 cm
Therefore, the other dimension of the pyramid's base is approximately 35.04 cm.
A rectangular pyramid has a volume of 22,750 cm3 . One of the dimensions of the base is 30 cm, and the altitude is 65 cm. What is the other dimension of the pyramid’s base? Round the answer to the nearest hundredth if necessary. how to do equation
3 answers
please simplify how to do the equation bot
1. Calculate the area of the base of the pyramid using the formula:
Base Area = Volume / ((1/3) * Height)
Base Area = 22,750 cm3 / ((1/3) * 65 cm)
Base Area = 22,750 cm3 / 21.67 ≈ 1,051.25 cm2
2. Calculate the other dimension of the base by dividing the base area by the known dimension:
Other Dimension = Base Area / 30 cm
Other Dimension = 1,051.25 cm2 / 30 cm
Other Dimension ≈ 35.04 cm
Therefore, the other dimension of the pyramid's base is approximately 35.04 cm.
Base Area = Volume / ((1/3) * Height)
Base Area = 22,750 cm3 / ((1/3) * 65 cm)
Base Area = 22,750 cm3 / 21.67 ≈ 1,051.25 cm2
2. Calculate the other dimension of the base by dividing the base area by the known dimension:
Other Dimension = Base Area / 30 cm
Other Dimension = 1,051.25 cm2 / 30 cm
Other Dimension ≈ 35.04 cm
Therefore, the other dimension of the pyramid's base is approximately 35.04 cm.