Just need some help. My teacher likes to throw in advice on each problem, but they confuse me more. On this one he said multiply by 3 since volume is given. I know my formula is V=1/3bh, but does his advice mean multiply the base ×3 and then plug in to my formula? I'm confused on what to multiply by 3. Thank you for any help.
The volume of a square pyramid is 75 cubic feet. The base area is 15 square feet. What is the height of the pyramid?
solving the formula for h ... h = V / (1/3 b)
dividing by 1/3 is the same as multiplying by 3 ... h = 3 V / b
Thank you greatly!!!
To find the height of the pyramid, you need to use the formula V = (1/3)bh, where V represents the volume, b represents the base area, and h represents the height.
In this case, you are given the volume (V = 75 cubic feet) and the base area (b = 15 square feet). Now, let's go through the steps to solve for the height (h):
1. Substitute the given values into the formula: 75 = (1/3)(15)h
2. Simplify the equation: 75 = 5h
3. Divide both sides of the equation by 5 to isolate the h variable: h = 75/5
4. Evaluate the division: h = 15
Therefore, the height of the pyramid is 15 feet.
Now, regarding your confusion about multiplying by 3, it seems that your teacher's advice may have been a bit unclear. Since the volume is given as 75 cubic feet, you don't need to multiply any values by 3 in this specific problem. The formula V = (1/3)bh already incorporates the factor of 1/3, so you don't need to introduce any additional multiplication.