The triangular prism above has a base area of 6.5 cm2 and a height of 3cm . What is the volume of the triangular prism?
The volume of a triangular prism is given by the formula V = 1/2 * base area * height.
Plugging in the values given, we have:
V = 1/2 * 6.5 cm^2 * 3 cm
V = 9.75 cm^3
Therefore, the volume of the triangular prism is 9.75 cm^3.
When finding the volume of a triangular prism, first we must find the area of the base.
What is the area of the base of the triangular prism?
Height: 3 cm
Length: 7 cm
Width: 2 cm
The base of the triangular prism is a triangle with a base of 7 cm and a height of 3 cm.
The formula for finding the area of a triangle is A = 1/2 * base * height.
Plugging in the values, we have:
A = 1/2 * 7 cm * 3 cm
A = 1/2 * 21 cm
A = 10.5 cm^2
Therefore, the area of the base of the triangular prism is 10.5 cm^2.
When finding the volume of a triangular prism, we multiply the area of the base x the height of the prism.
Find the volume of the triangular prism.
Same height width and length as before
Given:
Height: 3 cm
Length: 7 cm
Width: 2 cm
First, find the area of the triangular base:
A = 1/2 * base * height
A = 1/2 * 7 cm * 3 cm
A = 10.5 cm^2
Then, find the volume of the triangular prism:
V = A * height
V = 10.5 cm^2 * 3 cm
V = 31.5 cm^3
Therefore, the volume of the triangular prism is 31.5 cm^3.
Height: 9 cm
Radius: 3 cm
Use 3.14 for π. Do not round.
The volume of a triangular prism is given by the formula V = base area x height.
First, let's find the area of the base, which is a circle with a radius of 3 cm:
A = πr^2
A = 3.14 x 3^2
A = 3.14 x 9
A = 28.26 cm^2
Now, plug in the values into the formula to find the volume of the triangular prism:
V = 28.26 cm^2 x 9 cm
V = 254.34 cm^3
Therefore, the volume of the triangular prism is 254.34 cm^3.