The volume of the prism, with a triangular base (base dimensions of 24m and 15m) and a height of 10m, is 1800 cubic meters.
To find the volume of the prism described, you need to identify the base shape and calculate the area of the base. In this case, the base is a triangle with a base of 24 meters and a height of 15 meters. The formula for the area of a triangle is 1/2 times the base times the height.
Area of the triangle = 1/2 times 24 times 15 square meters.
Once you have the area of the base, you can find the volume of the prism by multiplying the base area by the height of the prism. The formula for the volume of a prism is the base area times the height.
Volume = 1/2 times 24 times 15 times 10 cubic meters.
Now, let's calculate the values:
Area of the triangle = 1/2 times 24 times 15 = 180 square meters.
Volume = 180 times 10 = 1800 cubic meters.