Question

Find the volumes of the pyramid and triangular pyramid.

Answer 1

Answer:

1) Volume of triangular pyramid = 33 cm³.

2) Volume of triangular prism = 99 cm³

Step-by-step explanation:

1) Volume of a triangular pyramid is given as;

V_py = ⅓Ah

Where A is area of base and h is height

We see from the diagram that;

A = 11 cm²

h = 9 cm

Thus; V_py = ⅓ × 11 × 9 = 33 cm³

2) Volume of triangular prism is given by;

V_pr = ½bhl

Where;

½bh is area of triangular cross section

l is length

We see from the diagram that ½bh = 11 cm² and L = 9 cm

Thus;

V_pr = 11 × 9 = 99 cm³