Question

what is the volume of this figure?
2 cm
5 cm
2 cm
3 cm
6 cm
____ cubic centimeters
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Explanation:

Step1: Split shape into two prisms

We can divide the figure into a larger rectangular prism and a smaller rectangular prism on top.

Step2: Calculate volume of larger prism

The larger prism has dimensions $6\ \text{cm}$, $3\ \text{cm}$, $2\ \text{cm}$.
Volume formula: $V = l \times w \times h$
$V_1 = 6 \times 3 \times 2 = 36\ \text{cubic cm}$

Step3: Calculate dimensions of smaller prism

Length of smaller prism: $2\ \text{cm}$
Width of smaller prism: $5 - 3 = 2\ \text{cm}$
Height of smaller prism: $2\ \text{cm}$

Step4: Calculate volume of smaller prism

$V_2 = 2 \times 2 \times 2 = 8\ \text{cubic cm}$

Step5: Sum the two volumes

Total volume $V = V_1 + V_2$
$V = 36 + 8 = 44$

Answer:

44 cubic centimeters