Respuesta :

Answer:

[ 22 ]

Step-by-step explanation:

First you gotta add the cubes inside of it to find the volume then the ones outside you have to take them out and slant them then you have to fill the whole thing up and there you go [or you can just add all the numbers together for a easier explanation. ] Sorry if its wrong! ~Bread

Ver imagen MitsukuChan

Answer:

68 in³

Step-by-step explanation:

To find the volume of the figure, we first need to find the volumes of the 2 triangular prisms and 1 rectangular prism.

Triangular prism

[tex]{\boxed{\text{Volume}= \text{base area ×height}}}[/tex]

The base area here is the area of the triangular face, since it is the face that repeats itself throughout the entire length/height to form the volume of prism.

Base area

= area of triangle

= ½(base)(height)

= ½(2)(3)

= 3 in.

Height= 2 in.

Volume

= 3(2)

= 6 in³

Volume of rectangular prism

Volume

= base area ×height

= length ×breadth ×width

= 14(2)(2)

= 56 in³

Total volume

Volume of figure

= 2(6) +56

= 12 +56

= 68 in³

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