a right prism of length 10cm has it's cross section,an equilateral triangle of side 6cm.Find it's volume

To find the volume of a prism, you need to multiply the area of the base by the height of the prism.

Step 1: Find the area of the equilateral triangle base.
The formula for the area of an equilateral triangle is:
Area = (sqrt(3) / 4) * side length^2

Given that the side length of the equilateral triangle is 6 cm, we can substitute it into the formula:
Area = (sqrt(3) / 4) * 6 cm^2

Calculating the area:
Area = (1.732 / 4) * 36 cm^2
Area = 10.392 cm^2 (approximately)

Step 2: Calculate the volume of the prism.
The volume of a prism is given by:
Volume = base area * height

Given that the length (height) of the prism is 10 cm, we can substitute the values:
Volume = 10.392 cm^2 * 10 cm

Calculating the volume:
Volume = 103.92 cm^3

Therefore, the volume of the prism is 103.92 cm^3.

To find the volume of a right prism, we need to multiply the area of the base by the height of the prism.

In this case, the base is an equilateral triangle with a side length of 6 cm.

To find the area of an equilateral triangle, we can use the formula:
Area = (√3/4) * (side length)^2

Plugging in the values, the area of the equilateral triangle base is:
Area = (√3/4) * (6 cm)^2 = (√3/4) * 36 cm^2 = (√3/4) * 36 cm^2 = (√3/4) * 36 cm^2 ≈ 15.588 cm^2 (rounded to three decimal places)

Next, we need to find the height of the prism, which is given as 10 cm.

Finally, we can calculate the volume of the prism by multiplying the area of the base by the height:
Volume = Base Area * Height = 15.588 cm^2 * 10 cm = 155.88 cm^3 (rounded to two decimal places)

Therefore, the volume of the right prism is approximately 155.88 cm^3.

volume = area of base * length

I assume you can find the area of a triangle.

1/2base *height