A pyramid 8cm height stand of a rectangular base 6cm by 4cm.calculate the volume of a pyramid
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 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.
Calculate the volume of a cone 14cm
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.
To calculate the volume of a pyramid, you can use the formula:
Volume = (1/3) * base area * height
In this case, the height of the pyramid is given as 8cm, and the base is rectangular with dimensions 6cm by 4cm.
Step 1: Calculate the base area of the pyramid.
To find the base area, multiply the length of the base by the width of the base.
Base area = 6cm * 4cm = 24 cm²
Step 2: Plug the values into the volume formula.
Volume = (1/3) * 24 cm² * 8 cm
Step 3: Calculate the volume.
Volume = (1/3) * 24 cm² * 8 cm = 64 cm³
Therefore, the volume of the pyramid is 64 cubic centimeters (cm³).