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A scale model of a skateboarding ramp is a right triangular prism as shown in the
figure.

In the actual ramp, the triangular base has a height of 15 in.
What is the VOLUME of the actual ramp?

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The volume of the actual ramp including the underside is 16 cubic ft.

The height of the actual ramp = 15 feet

The height of the model = 6 cm

What is the volume of a right triangular prism?

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The volume of a right triangular prism = ( height× Base Area)

Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

The volume of a right triangular prism = ( height× Base Area)

= $$5 \times 3.2\\ 16.0$$

Hence, the volume of the actual ramp including the underside is 16 cubic ft.