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mars1129 [50]
3 years ago
14

Calculate the volume of each solid. 14 cm 18 cm 22 cm 19 cm

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

9514 1404 393

Answer:

  10,450 cm³

Step-by-step explanation:

The volume is the product of the area of the facing face and the depth of the figure. The area of the facing face is the sum of the areas of a rectangle and a triangle. The relevant area formulas are ...

  A = bh . . . . . area of rectangle with base b and height h

  A = 1/2bh . . . area of triangle with base b and height h

Here the rectangle and triangle have the same base, 19 cm. Then the sum of the areas is ...

  Atot = (19 cm)(18 cm) + 1/2(19 cm)(14 cm)

  Atot = (19 cm)(18 cm +1/2×14 cm) = (19 cm)(25 cm) = 475 cm².

Then the volume of the figure is ...

  V = Bh = (475 cm²)(22 cm) = 10,450 cm³

_____

<em>Additional comment</em>

Effectively, this is the volume of a cuboid whose height is that of the bottom rectangular prism (18 cm) plus half the height of the triangular prism on top (1/2×14 cm = 7 cm). (18+7=25) The volume is essentially 19 cm × 25 cm × 22 cm. This recognition can serve to simplify the work or to act as a check on the work done some other way.

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Which of the following algebraic expressions represents the sum of 7 and one-fifth of x?
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Step-by-step explanation:

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2 years ago
The football team has 2 large water containers. Each container holds 345π in3 of water. Each player is given a cylindrical water
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Answer:

They'll be able to get 34 bottles from the containers.

Step-by-step explanation:

Since the bottles are cylindrical we can calculate their volume by using the following formula:

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Since the problem wants the amount of full bottles we only take the integer part, so they will be able to get 34 bottles from the containers.

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Step-by-step explanation:

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