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katrin [286]
3 years ago
9

HELP ME THIS THE LAST ONE AND THEN I AM DONE PLS HELP BTW I COULDN’T TAP ON THE LINK THAT U GAVE ME I FORGOT UR NAME

Mathematics
1 answer:
Iteru [2.4K]3 years ago
3 0

Answer:

\Huge\boxed{V=550}

Step-by-step explanation:

Hello There!

For this problem we want to split the irregular 3d figure into two regular 3d figures

Two rectangular prisms with the following dimensions

rectangular prism 1

length - 5 feet

width - 12 feet

height - 5 feet

rectangular prism 2

length - 5 feet

width - 5 feet

height - 10 feet (was found by subtract height of rectangular prism 1 (5 feet) from the total height of the irregular figure (15-5=10 so the height of rectangular prism 2 is 10 feet)

Now to find the volume of each individual prism...

So remember the formula for volume of a rectangular prism is

volume = length x width x height

so having the dimensions of each rectangular prism we plug in each value to the formula ( remember we're doing this for each individual rectangular prism)

For rectangular prism 1

V = 12 x 5 x 5

12x5x5=300 so the volume of rectangular prism is 300 cubic feet

For rectangular prism 2

V = 10 x 5 x 5

10x5x5=250 so the volume of rectangular prism is 250 cubic feet

our final step is to add the two volumes together

250 + 300 = 550

so we can conclude that the volume of the rooftop is 550

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