Question

Question

What is the volume of a rectangular prism that is 16 meters by 25 meters by 37 meters? =_units³

Answer 1

For the Given Question: 14800 m³

For Attachment Question: 9632 unit³

Explanation:

For the given Question:

The formula for the volume of a rectangular prism is:

`\sf Volume = length * width * height`

In this case:

• Length = 16 m
• Width = 25 m
• Height = 37 m

Now,

Substituting value

`\sf Volume = 16m* 25m * 37 m = 14800 m^3`

`\dotfill`

For picture one:

Let's find the volume by dividing the figure into two rectangular prisms.

For Upper cuboid or rectangular prism:

The formula for the volume of a rectangular prism is:

`\sf Volume = length * width * height`

In this case:

• Length = 29 unit
• Width = 16unit
• Height = 14 unit

Now,

Substituting value

`\sf Volume = 29 unit * 16unit * 14 unit = 6496 unit^3`

For Lower cuboid or rectangular prism:

The formula for the volume of a rectangular prism is:

`\sf Volume = length * width * height`

In this case:

• Length = 14 unit
• Width = 16 unit
• Height = 14 unit

Now,

Substituting value

`\sf Volume =14 unit * 16unit * 14 unit= 3136 unit^3`

Now,

`\sf \textsf{ Total Volume }= 6496unit^3 + 3136unit^2 =9632 unit^3`