Question

what is the volume of the composite figure?

1. volume of prism 1

$v = bh$
$v=(5cm)(7cm)(8cm)$

1. volume of prism 2

$v = bh$
$v=(10cm)(7cm)(4cm)$

1. total volume $=□cm^{3}$

Explanation:

Step1: Calculate volume of prism 1

$$V_1=(5\times7\times8)\text{ cm}^3 = 280\text{ cm}^3$$

Step2: Calculate volume of prism 2

$$V_2=(10\times7\times4)\text{ cm}^3=280\text{ cm}^3$$

Step3: Calculate total volume

$$V = V_1+V_2=280 + 280=560\text{ cm}^3$$

Answer:

560