Question

what is the volume of this figure?
4 cm
1 cm 2 cm
2 cm 2 cm
6 cm
4 cm
3 cm
8 cm
____ cubic centimeters

Explanation:

Step1: Calculate top prism volume

Volume formula: $V = l \times w \times h$
$V_1 = 4 \times 2 \times 1 = 8$

Step2: Calculate middle prism volume

$V_2 = 6 \times 2 \times 2 = 24$

Step3: Calculate bottom prism volume

$V_3 = 8 \times 3 \times 4 = 96$

Step4: Sum all volumes

$V_{total} = V_1 + V_2 + V_3$
$V_{total} = 8 + 24 + 96$

Answer:

128 cubic centimeters