Question

what is the volume?
7 yd
10 yd
9 yd
314 yd³
315 yd³
316 yd³
415 yd³

Explanation:

Step1: Identify the shape and formula

This is a triangular prism. Volume formula: $V = \text{Area of triangular base} \times \text{length of prism}$

Step2: Calculate base triangle area

Area of triangle: $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 10 \times 7 = 35$ yd²

Step3: Compute total volume

Multiply base area by prism length: $V = 35 \times 9 = 315$ yd³

Answer:

315 yd³