Question

Each base in this oblique prism is a right triangle.

What is the volume of the figure?

Answer 1

66 cm³

Explanation:

From the diagram,

Volume of the prism(v) = Area of the base (A)×Height(h)

v = A×h............... Equation 1

But,

A = bh/2.................... Equation 2

Where b = base of the triangle, h = height of the triangular base.

Substitute equation 2 into equation 1

v = (bh/2)H.................... Equation 3

Also for the diagram,

Given; b = 3 cm, h = 4 cm, H = 11 cm

Substitute these values into equation 3

v = (3×4×11)/2

v = 132/2

v = 66 cm³