Question

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

Step1: Calculate volume of main prism

The main block has dimensions $7\text{ cm} \times 6\text{ cm} \times 1\text{ cm}$.
$\text{Volume}_1 = 7 \times 6 \times 1 = 42\text{ cm}^3$

Step2: Calculate volume of lower prism

The lower protruding block has dimensions $3\text{ cm} \times 2\text{ cm} \times 1\text{ cm}$.
$\text{Volume}_2 = 3 \times 2 \times 1 = 6\text{ cm}^3$

Step3: Sum the two volumes

Add the volumes of the two parts to get total volume.
$\text{Total Volume} = 42 + 6 = 48\text{ cm}^3$

Answer:

48 cubic centimeters