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Alecsey [184]
1 year ago
5

The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.

Mathematics
1 answer:
REY [17]1 year ago
5 0

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

From the figure, we can see that:

  • There are 6 cubes in the figure
  • The dimensions of the cubes are equal
  • The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

Volume = 6

<u>Method 2</u>

From the figure, we can see that:

  • There are 6 cubes in the figure
  • 2 cubes at the top and 4 at the bottom
  • The dimensions of the cubes are equal
  • The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Top cubes +  Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

Read more about volumes at:

brainly.com/question/1972490

#SPJ1

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a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l
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Answer:

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Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = \frac{1}{2} x cm a

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Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

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Substituting the value of P = 24 cm , l = (x+3) cm and w =\frac{1}{2} x

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Combine like terms;

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Subtract 3 from both the sides we get;

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Simplify:

9 =\frac{3x}{2}

Multiply both sides by \frac{2}{3} we get

x = 9 \times \frac{2}{3} = 3 \times 2 = 6

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