Question

hat is the volume of this figure?
2 yd.
1 yd.
1 yd.
3 yd.
1 yd.
1 yd.
5 yd.
cubic yards

Explanation:

Step1: Split figure into 3 rectangular prisms

Identify dimensions of each prism:
Prism 1: $l=2\ \text{yd}, w=1\ \text{yd}, h=3\ \text{yd}$
Prism 2: $l=1\ \text{yd}, w=1\ \text{yd}, h=2\ \text{yd}$
Prism 3: $l=2\ \text{yd}, w=1\ \text{yd}, h=1\ \text{yd}$

Step2: Calculate volume of each prism

Volume formula: $V = l \times w \times h$
Prism1: $V_1 = 2 \times 1 \times 3 = 6\ \text{cubic yd}$
Prism2: $V_2 = 1 \times 1 \times 2 = 2\ \text{cubic yd}$
Prism3: $V_3 = 2 \times 1 \times 1 = 2\ \text{cubic yd}$

Step3: Sum all prism volumes

Total volume: $V = V_1 + V_2 + V_3$
$V = 6 + 2 + 2$

Answer:

10 cubic yards