To find the volume of a triangular prism, you need to multiply the area of the base by the height of the prism.
First, find the area of the base triangle. The area of a triangle can be calculated using the formula: 0.5 x base x height.
In this case, one leg of the triangle is 6 cm and the other leg is 8 cm. So the base of the triangle is 8 cm and the height is 6 cm.
Area of the base triangle = 0.5 x 8 x 6 = 24 square cm
Now, multiply the area of the base by the height of the prism to get the volume:
Volume = 24 x 5 = 120 cubic cm
Therefore, the volume of the triangular prism is 120 cubic cm.
This is a triangular prism. It has a height of 5 cm. The base is a right triangle. One of the legs of the triangle has a length of 8 cm. Another has a length of 6 cm.
What is the volume of this prism? Show or explain your work.
3 answers
explain as a 7 year old
To find how much space is inside this shape, we first need to know how big the bottom triangle is. To find that, we need to multiply the two shorter sides of the triangle (6 cm and 8 cm) and divide by 2.
6 x 8 = 48
48 รท 2 = 24
Now we know that the bottom of the shape takes up 24 square cm. To find out how much space is inside the whole shape, we need to multiply this by how tall the shape is, which is 5 cm.
24 x 5 = 120
So, the triangular prism has a volume of 120 cubic cm.
6 x 8 = 48
48 รท 2 = 24
Now we know that the bottom of the shape takes up 24 square cm. To find out how much space is inside the whole shape, we need to multiply this by how tall the shape is, which is 5 cm.
24 x 5 = 120
So, the triangular prism has a volume of 120 cubic cm.