What is the volume of a triangular prism? Im in 6th grade
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Welcome! Today we'll learn about finding the volume of a triangular prism. A triangular prism is a three-dimensional shape that has two triangular faces called bases, and three rectangular faces on the sides. To find its volume, we multiply the area of the triangular base by the height of the prism.
Now let's find the area of the triangular base. Remember, the area of a triangle equals one-half times base times height. In our example, the base is 6 units and the height is 4 units. So the area equals one-half times 6 times 4, which gives us 12 square units.
Now we complete the calculation. We multiply the base area by the height of the prism. Our triangular base has an area of 12 square units, and the prism height is 5 units. So the volume equals 12 times 5, which gives us 60 cubic units. Remember, the complete formula is volume equals one-half times base times height times prism height.
Let's practice with another example! We have a triangular prism where the triangular base has a base of 8 units and height of 3 units. The prism height is 7 units. First, we find the triangle area: one-half times 8 times 3 equals 12 square units. Then we multiply by the prism height: 12 times 7 equals 84 cubic units. Great job!
Let's summarize what we learned today. The volume of a triangular prism equals the base area times the height. Remember the two steps: first, find the area of the triangular base using one-half times base times height. Second, multiply that area by the height of the prism. Your final answer will always be in cubic units. You now know how to find the volume of any triangular prism!