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Use the following net to find the volume of the solid figure it represents.

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Use The Following Net To Find The Volume Of The Solid Figure It Represents class=

Sagot :

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Answer:

  (d)  48 yd³

Step-by-step explanation:

The net shown is of a rectangular prism. To find its volume, we need to know its dimensions. The volume will be the product of those dimensions.

__

edge lengths

The area of a rectangle is given by the formula ...

  A = LW

So, if we know one of the dimensions, we can find the other from ...

  W = A/L . . . . . divide by L

For the right-most rectangle, the area is 24 yd², and its length is given as 6 yd. Then the other dimension of that rectangle is ...

  W = 24 yd²/(6 yd) = 4 yd

__

For the left-most rectangle, the area is 12 yd², so its width is ...

  W = 12 yd²/(6 yd) = 2 yd

__

volume

Now we know the dimensions of the cuboid are 6 yd by 4 yd by 2 yd. Its volume is ...

  V = LWH = (6 yd)(4 yd)(2 yd) = 48 yd³

The volume of the solid figure is 48 yd³.

The volume of the solid figure is 48 cubic yd if the length, width, and height of the solid figure are 6, 4, and 2 yd respectively option fourth is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

We have a net of the solid figure shown in the picture.

From the figure, the face has 24 square yards area and one side length is given, we can calculate the width of this face:

24 = 6×w

w = 4 yd

From the face that has 8 square yards area, we can calculate the height of the solid net:

8 = 4h

h = 2 yd

Volume of the solid net = 6×4×2 = 48 cubic yd

Thus, the volume of the solid figure is 48 cubic yd if the length, width, and height of the solid figure are 6, 4, and 2 yd respectively.

Learn more about the rectangular prism here:

brainly.com/question/21308574

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