Question

A triangular prism has base area of 25 cm?. If height is increased by 20%, what is the new volume (original height was 10 cm)?

• A. 250 cm³
• B. 275 cm³
• C. 300 cm³
• D. 225 cm³

Answer 1

Answer:

C. 300 cm³

Volume of a triangular prism:

$\text{Volume} = \text{Base Area} \times \text{Height}$

Given:

• Base area $(= 25 \text{ cm}^2)$

• Original height $(= 10 \text{ cm})$

Height increased by (20%):

$\text{New height} = 10 + 20\% \text{ of } 10$
$= 10 + 2 = 12 \text{ cm}$

New volume:

$25 \times 12 = 300 \text{ cm}^3$

Therefore, the new volume is:

$\boxed{300 \text{ cm}^3}$