Answer:
105 cm³
Step-by-step explanation:
Given:
- Height of triangular base: 7 cm
- Base of triangular base: 5 cm
- Height of triangular prism: 6 cm
Formula:
[tex]\text{Area of triangular prism:} \ (\text{Area of triangle}) \times \text{Height of triangular prism}[/tex]
Substitute the given measures in the formula to determine the volume.
[tex]\implies\text{Area of triangular prism:} \ (\frac{1}{2} \times 5 \times 7) \times 6[/tex]
Simplify the expression as needed.
[tex]\implies\text{Area of triangular prism:} \ (17.5) \times 6[/tex]
[tex]\implies\boxed{\text{Area of triangular prism:} \ 105 \ \text{cm}^{3}}[/tex]
