Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the volume of the prism below? a. 168 units³ b. 336 units³ c. 2…

Question

what is the volume of the prism below? a. 168 units³ b. 336 units³ c. 250 units³ d. 104 units³

Explanation:

Step1: Find base triangle area

The base is a right triangle. Area formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$
$\text{Base Area} = \frac{1}{2} \times 7 \times 6 = 21$

Step2: Calculate prism volume

Volume formula: $\text{Volume} = \text{Base Area} \times \text{length}$
$\text{Volume} = 21 \times 8 = 168$

Answer:

A. 168 units$^3$