Answer:
V = 126 cm³
Step-by-step explanation:
the figure is made up of 2 cuboids ( flat one on the left and upright one on the right )
the volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth, h is height )
cuboid on left has l = 7 , b = 6 and h = 1 , then
V = 7 × 6 × 1 = 42 cm³
upright cuboid has l = 7 , b = 3 and h = 4 , then
volume = 7 × 3 × 4 = 84 cm³
Then volume of figure is the sum of the 2 volumes calculated
V = 42 + 84 = 126 cm³
Answer:
126 cm^3
Step-by-step explanation:
In order to find the volume of a cuboid the formula is:
l × w × h
In this case, we actually have two cuboids making up this one figure. Thus you can them apart into two cuboids.
I take one cuboid with the measurements of 9 by 7 by 3 and calculate the volume below:
[tex]9*7*3=63[/tex]
Similarly, the other cuboid will have measurements of 3 by 3 by 7(the reason why h is 3 is that I chose to include the bottom half of the width of the cuboid). Now calculate your volume for the second cuboid:
[tex]3*3*7=63[/tex]
Now add both volumes together and you get 126 cm^3
