Question

what is the volume of this figure?
11 yd.
2 yd.
12 yd.
4 yd.
6 yd.
____ cubic yards

Explanation:

Step1: Split figure into 3 prisms

We can divide the shape into three rectangular prisms:

1. Top left prism: dimensions $11-6=5$ yd, $12-4=8$ yd, $2$ yd
2. Bottom front prism: dimensions $6$ yd, $12$ yd, $2$ yd
3. Right side prism: dimensions $4$ yd, $11$ yd, $2$ yd

Step2: Calculate volume of prism 1

Volume = length × width × height
$\text{Volume}_1 = 5 \times 8 \times 2 = 80$

Step3: Calculate volume of prism 2

$\text{Volume}_2 = 6 \times 12 \times 2 = 144$

Step4: Calculate volume of prism 3

$\text{Volume}_3 = 4 \times 11 \times 2 = 88$

Step5: Sum all volumes

Total volume = sum of the three volumes
$\text{Total Volume} = 80 + 144 + 88$

Answer:

252 cubic yards