Question

what is the volume of this figure? 1 yd. 2 yd. 1 yd. 3 yd. 4 yd. 2 yd. cubic yards submit

Explanation:

Step1: Calculate volume of large cuboid

The formula for the volume of a cuboid is $V = l\times w\times h$. For the large cuboid with length $l = 4$ yd, width $w=3$ yd and height $h = 2$ yd, $V_{1}=4\times3\times2=24$ cubic - yards.

Step2: Calculate volume of small cuboid

The small cuboid has length $l = 2$ yd, width $w = 2$ yd and height $h = 1$ yd. Using the volume formula $V = l\times w\times h$, $V_{2}=2\times2\times1 = 4$ cubic - yards.

Step3: Calculate volume of the figure

The volume of the given figure is the volume of the large cuboid minus the volume of the small cuboid. $V=V_{1}-V_{2}=24 - 4=20$ cubic - yards.

Answer:

20