sum of two different cuboids
(8×6×2)+(6×3×6)
= 203 cm^3
to calculate the volume of the composite shape, we can break it up into pieces or smaller shapes and then add their volumes to the final volume.
in this case, imagine that the cuboid shape with the side length of 6 cm(front/right side of the diagram) along the line through the entire shape, breaking it into two cuboids.
now, for this smaller cuboid, we know the dimensions of the length, width, and height as given in the diagram so we just calculate the volume
V = l × w × h
V = 6 × 3 × 6
V= 107 cm^3
now for the other cuboid, we only have the width and height given directly from the diagram, and we need to find out the length. If we look at the diagram, we can see that the length of the second shape( the one on the left side ) is actually the width of the first cuboid plus the extra 5 cm we are given in the diagram, if we were to observe it from a side view.
we can also see that height of the second cuboid is also 6cm if we were to observe from the front view.
so we can figure out mentally that the length should be 5 + 3 = 8 cm. since we have all the dimension lets calculate the volume of the second shape.
V = l × w × h
V = 8 × 2 × 6
V = 96 cm^3
We can finally find the final volume of the composite shape by adding the two volumes we just calculated
therefore,
107 + 96 = 203 cm^3
good luck.