Question

what is the volume of this figure? 6 in. 4 in. 2 in. 3 in. 1 in. 1 in. cubic inches

Explanation:

Step1: Calculate volume of large cuboid

The volume formula for a cuboid is $V = l\times w\times h$. For the large cuboid, $l = 6$ in, $w=2$ in, $h = 4$ in. So $V_1=6\times2\times4=48$ in³.

Step2: Calculate volume of small cuboid

For the small cuboid, $l = 1$ in, $w = 1$ in, $h=3$ in. So $V_2 = 1\times1\times3=3$ in³.

Step3: Calculate volume of the figure

The volume of the figure is the volume of the large cuboid minus the volume of the small cuboid. $V=V_1 - V_2=48- 3=45$ in³.

Answer:

45