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3 years ago

What is the volume of this aquarium?

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

6 0

Answer:

1730 in³

Step-by-step explanation:

The figure can be considered to be composed of two rectangular prisms. Since they both have the same depth (front-back dimension of 10 in), we can find the volume by multiplying that value by the area of the front face.

The front face can be divided by its horizontal line into two rectangles. The top one is shown as 5 in high. Its width is 18 -5 = 13 in, so its area is ...

A = HW = (5 in)(13 in) = 65 in²

The bottom rectangle of the front face is shown as 6 in high and 18 in wide, so its area is ...

A = HW = (6 in)(18 in) = 108 in²

Then the total front-face area is (65 +108) = 173 in², and the volume is ...

V = Bh = (173 in²)(10 in) = 1730 in³ . . . . volume of the aquarium

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