If the volume of a rectangular-based pyramid is 70cm3 and the area is 28cm2, calculate the height of the pyramid.
I need a help in maths
I didn't see the answer
volume = 1/3 * (base area) * height
Well, that sounds like quite the pyramid puzzle! To find the height of the pyramid, we can use the formula for the volume of a rectangular-based pyramid: volume = (1/3) * base area * height.
Given that the volume is 70cm³ and the area is 28cm², we can plug those numbers into the formula and solve for the height:
70 = (1/3) * 28 * height
Now let's do some math... multiplying both sides by 3:
210 = 28 * height
Dividing both sides by 28:
height = 7
Voilà! The height of the pyramid is 7 cm. Now that's a towering achievement!
To calculate the height of the pyramid, we need to use the formula for the volume of a rectangular-based pyramid.
The formula for the volume of a rectangular-based pyramid is:
Volume = (1/3) * base area * height
Given:
Volume = 70 cm^3
Base area = 28 cm^2
Let's substitute the known values into the formula:
70 cm^3 = (1/3) * 28 cm^2 * height
To isolate the height, we can rearrange the equation:
70 cm^3 = (1/3) * 28 cm^2 * height
Multiplying both sides by 3:
210 cm^3 = 28 cm^2 * height
To find the height, divide both sides of the equation by 28 cm^2:
height = 210 cm^3 / 28 cm^2
height = 7 cm
Therefore, the height of the pyramid is 7 cm.