Question

a figure is composed of 2 rectangular prisms.
what is the volume of the figure?
$56\\ \text{ft}^3$
$68\\ \text{ft}^3$
$42\\ \text{ft}^3$
$24\\ \text{ft}^3$

Explanation:

Step1: Find dimensions of lower prism

Length: $7-3=4$ ft, Width: $2$ ft, Height: $4$ ft

Step2: Calculate lower prism volume

$V_1 = 4 \times 2 \times 4 = 32$ $\text{ft}^3$

Step3: Find dimensions of upper prism

Length: $3$ ft, Width: $2$ ft, Height: $6-4=2$ ft

Step4: Calculate upper prism volume

$V_2 = 3 \times 2 \times 2 = 12$ $\text{ft}^3$

Step5: Sum volumes of both prisms

$V = V_1 + V_2 = 32 + 12$

Answer:

$\boldsymbol{68}$ $\text{ft}^3$ (Option: 68 ft³)