Question

What is the volume of the composite figure? 6 cm 6 cm 18 cm 6 cm 6 cm 10 cm 8 cm V = [?]cm³ 6 cm What is the volume of the composite figure ? 6 cm 6 cm 18 cm 6 cm 6 cm 10 cm 8 cm V = [ ? ] cm​

Answer 1

2304 cm³

Explanation:

To find the volume of a composite figure, it is easiest to break it down into smaller, more recognizable shapes.

here, we can break our shape into two sections: the green section and the blue section

then, we will add the volumes of these shapes together

green section's volume:

note: you could also calculate this as four separate cubes

to find the volume of a rectangle, we need to multiply

length × width × height

here, our length is 12 (6 + 6); our height is 12 (6 + 6); and our width is 6

let's multiply these together: (12)(12)(6) = 864

so, the volume of the green section is 864 cm³

now, let's work with the blue section:

once again, the volume for a rectangle is length × width × height

here, our length is 18, our height is 10, and our width is 8

let's multiply these together: (18)(10)(8) = 1440

so, the volume of the blue section is 1440cm³

now, we can add our sections together:

1440 + 864 = 2304

meaning that the volume of the composite figure is 2304 cm³

hope this helps!! have a lovely day :)