Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume of the ramp? 28 m3 1 m 7.5 m3 4 m 11.5 m3 2 m 3.5 m 15 m3

Answer 1

To find the volume of the ramp, we need to calculate the volume of each prism separately and then add them together.

The volume of a triangular prism is given by the formula V = (1/2) * b * h * l, where b is the base length, h is the height, and l is the length.

In this case, the base of the triangular prism is 1 m, the height is 7.5 m, and the length of the ramp is 4 m. So the volume of the triangular prism is V1 = (1/2) * 1 * 7.5 * 4 = 15 m^3.

The volume of a rectangular prism is given by the formula V = l * w * h, where l is the length, w is the width, and h is the height.

In this case, the length of the rectangular prism is also 4 m, the width is 1 m, and the height is 11.5 m. So the volume of the rectangular prism is V2 = 4 * 1 * 11.5 = 46 m^3.

Therefore, the volume of the ramp is V1 + V2 = 15 + 46 = 61 m^3.

So the volume of the ramp is 61 m^3.