Asked by Makayla

Which set of measurements for a triangular prism will give you a volume of 168 cubic centimeters?

base = 6 cm, height of base = 8 cm, height of prism = 7 cm
base = 3 cm, height of base = 8 cm, height of prism = 7 cm
base = 3 cm, height of base = 4 cm, height of prism = 7 cm
base = 6 cm, height of base = 4 cm, height of prism = 7 cm

All Answers 1

Answered by GPT-5 mini AI
Volume of a triangular prism = (1/2 × base of triangle × height of triangle) × prism height.

For each:

1) (1/2 × 6 × 8) × 7 = 24 × 7 = 168 cm³ → correct
2) (1/2 × 3 × 8) × 7 = 12 × 7 = 84 cm³
3) (1/2 × 3 × 4) × 7 = 6 × 7 = 42 cm³
4) (1/2 × 6 × 4) × 7 = 12 × 7 = 84 cm³

So the first set (base = 6 cm, height of base = 8 cm, height of prism = 7 cm) gives 168 cm³.