Question

what is the approximate volume enclosed by the oblique pyramid shown below? note: figure not drawn to scale. a. 102.67 cubic inches b. 140.00 cubic inches c. 242.67 cubic inches d. 112.00 cubic inches

Explanation:

Step1: Calculate base area

The base is a rectangle, so area $B = l \times w = 7 \times 4 = 28$ square inches.

Step2: Apply pyramid volume formula

Volume formula for any pyramid: $V = \frac{1}{3}Bh$, where $h=11$ in.
$V = \frac{1}{3} \times 28 \times 11$

Step3: Compute final volume

$V = \frac{308}{3} \approx 102.67$ cubic inches.

Answer:

A. 102.67 cubic inches