Question

Find the volume of the prism.

Answer 1

Answer: 591.5 ft³

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

Answer 2

= 591.5 ft³

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