What is the volume of the pyramid?
(1 point) up through the middle is 11cm the side is 10cm and the bottum is 7cm
?cm3
that is wrong
I apologize for the incorrect response. To find the volume of a pyramid, you can use the formula V = (1/3)(base area)(height).
Since the base of the pyramid is a triangle, we need to calculate its area first. The formula for the area of a triangle is:
Area of triangle = (1/2)(base)(height of the triangle)
Given that the base of the triangle is 10 cm and the height is 7 cm, we can calculate the area as follows:
Area of triangle = (1/2)(10 cm)(7 cm) = 35 cm²
Now, we can substitute the values into the volume formula:
V = (1/3)(35 cm²)(11 cm)
Calculating this, we get:
V = (11/3)(35 cm²) = 385/3 cm³
Therefore, the volume of the pyramid is approximately 128.33 cm³.
1...... 256.67
2...... 2,400
3....... 514.29
4....... 1,687,500 m3
5........ 640 in.3
Apologies for the confusion in my previous responses. Let's calculate the correct volume of the pyramid.
To find the volume of a pyramid, we use the formula V = (1/3)(base area)(height).
Given that the base of the pyramid has a length of 10 cm and a width of 7 cm, the base area would be:
Base area = length * width = 10 cm * 7 cm = 70 cm²
Now we need to find the height of the pyramid. From the given information, we know that up through the middle is 11 cm. Since the pyramid is not specified as a right pyramid, we can assume that the height is measured from the vertex to the base.
Using Pythagoras' theorem, we can find the height:
height² = (11 cm)² - (1/2 * base)^2
height² = 121 cm² - (1/2 * 10 cm)^2
height² = 121 cm² - 25 cm²
height² = 96 cm²
height ≈ √96 cm ≈ 9.8 cm (rounded to one decimal place)
Now that we have the base area (70 cm²) and the height (9.8 cm), we can calculate the volume:
V = (1/3)(base area)(height)
V = (1/3)(70 cm²)(9.8 cm)
V ≈ 170.67 cm³ (rounded to two decimal places)
Therefore, the correct volume of the pyramid is approximately 170.67 cm³.
To find the volume of a pyramid, you can use the formula V = (1/3)(base area)(height).
In this case, the base area can be calculated by finding the area of the triangular base. To do this, we can use the formula for the area of a triangle:
Area of triangle = (1/2)(base)(height of the triangle)
Given that the base of the triangle is 10 cm and the height is 7 cm, we can calculate the area of the triangular base as follows:
Area of triangle = (1/2)(10 cm)(7 cm) = 35 cm²
Now, we can substitute the values into the volume formula:
V = (1/3)(35 cm²)(11 cm)
Calculating this, we get:
V = (1/3)(385 cm³) = 128.33 cm³
Therefore, the volume of the pyramid is approximately 128.33 cm³.