Respuesta :

Answer:

  = 591.5 ft³

Step-by-step explanation:

Volume of the prism will be given by;

Cross section area × length

Cross section area =

= 1/2 ×13 ×13

= 84.5 ft²

Volume = 84.5 ft² × 7ft

            = 591.5 ft³

Answer: 591.5 ft³

Step-by-step explanation:

1) Formula: Volume of a prism

  • V = Base area × height

2) Base area

The figure shows that the bases are right triangles with congruent lengths (the thick marks over the segments indicate this).

  • Triangle area = (1/2) base length × height

  • Base length = base height = 13 ft

  • Area = (1/2) × 13 ft × 13 ft = 169 ft² / 2 = 84.5 ft²

3) Depth: 7 ft

4) Volume = 84.5 ft² × 7 ft = 591.5 ft³