The formula for the volume of a pyramid is:
V = (1/3) * base area * height
First, we need to calculate the base area:
base area = length * width
base area = 6cm * 4cm
base area = 24cm²
Now we can plug the values into the formula:
V = (1/3) * 24cm² * 8cm
V = 64cm³
Therefore, the volume of the pyramid is 64cm³.
A pyramid 8cm height stand of a rectangular base 6cm by 4cm.calculate the volume of a pyramid
5 answers
A write pyramid on a base 4cm^2 square has a slant edge 6cm. Calculate the volume of the pyramid
The formula for the volume of a pyramid is:
V = (1/3) * base area * height
To calculate the volume of the pyramid, we need to know the height. We can use the Pythagorean theorem to find the height. The slant edge, base (which is a square), and height form a right triangle. Let's call the height "h".
Using the Pythagorean theorem:
6^2 = h^2 + (2cm)^2
36 = h^2 + 4cm^2
h^2 = 32cm^2
h = sqrt(32)cm
h ≈ 5.66cm
Now we can plug in the values into the formula:
V = (1/3) * base area * height
V = (1/3) * (4cm^2) * (5.66cm)
V = 9.33cm³ (rounded to two decimal places)
Therefore, the volume of the pyramid is approximately 9.33 cubic centimeters.
V = (1/3) * base area * height
To calculate the volume of the pyramid, we need to know the height. We can use the Pythagorean theorem to find the height. The slant edge, base (which is a square), and height form a right triangle. Let's call the height "h".
Using the Pythagorean theorem:
6^2 = h^2 + (2cm)^2
36 = h^2 + 4cm^2
h^2 = 32cm^2
h = sqrt(32)cm
h ≈ 5.66cm
Now we can plug in the values into the formula:
V = (1/3) * base area * height
V = (1/3) * (4cm^2) * (5.66cm)
V = 9.33cm³ (rounded to two decimal places)
Therefore, the volume of the pyramid is approximately 9.33 cubic centimeters.
Calculate the volume of a cone 14cm
in base diameter and 24cm high
in base diameter and 24cm high
The formula for the volume of a cone is:
V = (1/3) * π * r^2 * h
where "π" is pi (approximately 3.14), "r" is the radius of the base, and "h" is the height of the cone.
First, let's find the radius of the cone. The diameter is given as 14cm, so the radius is half of that:
r = 14cm / 2 = 7cm
Now we can plug in the values into the formula:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14 * (7cm)^2 * 24cm
V = 5,415.36cm³ (rounded to two decimal places)
Therefore, the volume of the cone is approximately 5,415.36 cubic centimeters.
V = (1/3) * π * r^2 * h
where "π" is pi (approximately 3.14), "r" is the radius of the base, and "h" is the height of the cone.
First, let's find the radius of the cone. The diameter is given as 14cm, so the radius is half of that:
r = 14cm / 2 = 7cm
Now we can plug in the values into the formula:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14 * (7cm)^2 * 24cm
V = 5,415.36cm³ (rounded to two decimal places)
Therefore, the volume of the cone is approximately 5,415.36 cubic centimeters.