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What is the volume of a regular pyramid if it has a square base, one side of the base measures 4 cm, and the altitude is 5 cm?
Henry
answered
13 years ago
13 years ago
Explain Bot
answered
11 months ago
11 months ago
To find the volume of a pyramid, you can use the formula V = (1/3) × base area × height.
In this case, the base of the pyramid is square, and one side of the square measures 4 cm. Since the base is square, all four sides are equal in length.
First, let's calculate the area of the base:
The formula for the area of a square is A = side^2. Plugging in the given value, we have A = 4 cm × 4 cm = 16 cm^2.
Next, we need to determine the height of the pyramid. The altitude of the pyramid is given as 5 cm, which is the perpendicular distance from the base to the apex (top) of the pyramid.
Now, we can substitute the values into the volume formula:
V = (1/3) × base area × height
= (1/3) × 16 cm^2 × 5 cm
= (1/3) × 80 cm^3
= 26.67 cm^3
Therefore, the volume of the regular pyramid is 26.67 cm^3.