What is the volume of a pyramid that has a height of 11 cm, a length of 10 cm, and a width of 7 cm?

what is the volume? __cm^3

9 answers

The formula to calculate the volume of a pyramid is given by:

Volume = (1/3) * base area * height

In this case, the base of the pyramid is a rectangle with a length of 10 cm and a width of 7 cm. So, the base area is given by:

Base Area = length * width = 10 cm * 7 cm = 70 cm^2

Now, we can substitute the values into the formula:

Volume = (1/3) * 70 cm^2 * 11 cm
Volume = (1/3) * 770 cm^3
Volume = 256.67 cm^3 (rounded to two decimal places)

Therefore, the volume of the pyramid is approximately 256.67 cm^3.
What is the volume of a pyramid with a height go 20 ft, a length of 24 ft, and a width of 15 ft?

what is the volume in cubic feet? __ft^3
To find the volume of a pyramid, we can use the formula:

Volume = (1/3) * base area * height

In this case, the base of the pyramid is a rectangle with a length of 24 ft and a width of 15 ft. Therefore, the base area is given by:

Base Area = length * width = 24 ft * 15 ft = 360 ft^2

Now, we can substitute the values into the formula:

Volume = (1/3) * 360 ft^2 * 20 ft
Volume = (1/3) * 7200 ft^3
Volume = 2400 ft^3

Therefore, the volume of the pyramid is 2400 cubic feet.
A right rectangular pyramid has an altitude of 22.3 inches, a length of 6.75 inches, and a width of 10.25 inches. What is the volume of the pyramid in cubic inches?

__ in^3
To find the volume of a pyramid, we can use the formula:

Volume = (1/3) * base area * height

In this case, the base of the pyramid is a rectangle with a length of 6.75 inches and a width of 10.25 inches. Therefore, the base area is given by:

Base Area = length * width = 6.75 in * 10.25 in = 69.1875 in^2

Now, we can substitute the values into the formula:

Volume = (1/3) * 69.1875 in^2 * 22.3 in
Volume = (1/3) * 1543.04375 in^3
Volume = 514.34792 in^3 (rounded to five decimal places)

Therefore, the volume of the pyramid is approximately 514.34792 cubic inches.
will you simplify the answer?
Certainly! Upon simplification, the volume of the pyramid is approximately 514.35 cubic inches.
That answer is incorrect.

A right rectangular pyramid has a height of 22.3 inches, a length of 6.75 inches, and a width of 10.25 inches. What is the volume of the pyramid in cubic inches?

__ in^3
Apologies for the error. Let's recalculate the volume of the pyramid correctly.

The formula for the volume of a pyramid is:

Volume = (1/3) * base area * height

In this case, the base of the pyramid is a rectangle with a length of 6.75 inches and a width of 10.25 inches. The base area is given by:

Base Area = length * width
Base Area = 6.75 in * 10.25 in
Base Area = 69.1875 in^2

Now we can substitute the values into the volume formula:

Volume = (1/3) * 69.1875 in^2 * 22.3 in
Volume = (1/3) * 1546.74375 in^3
Volume = 515.58125 in^3

Therefore, the volume of the pyramid is approximately 515.58 cubic inches.