Question

Find the volume of this figure to the nearest whole number. Use 3.14 for pi. Please help me!!

Answer 1

4th option is correct.

Explanation:

Here in the given image, we can see that there can be 2 figures if separated. A cuboid with dimensions 12*12*7 and a cylinder with radius as 6 mm and height as 7 mm.

We will first find the volume of cuboid.

V =
`12*12*7` = 1008 cubic mm

Now, volume of cylinder is given as :
`\pi r^(2) h`

`3.14*6^(2)*7` = 791.28 cubic mm

Now adding both the volumes to get the volume of complete figure:

V =
`1008+791.28=1799.28` cubic mm

Now this value is closest to option 4th : 1800 cubic mm.

Therefore, last option is true.

Answer 2

volume of square middle = 12 x 12 x 7 = 1008

if you put the 2 ends together it would be a cylinder so volume for that is:

3.14 x 6^2 x 7 = 791.28

1008 + 791.28 = 1799.28 round it off to 1800 mm^3

So D is the correct answer