Question

What is the volume of the prism?

Enter your answer, as a mixed number in simplest form, in the box.


____cm³

Answer 1

The Volume is 78 3/4

Explanation:

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Answer 2

The volume prism refers to the number of cubic units that will exactly fill the figure. The volume of a rectangular prism can be found or calculate by using the formula V=Bh, where B represents to the area of the base or in other words the length and width of the rectangle.

In this exercise is given that the measures of a rectangular prism are 5 centimeters long,
`4 (1)/(2)` or
`(9)/(2)` centimeters wide, and
`3 (1)/(2)` or
`(7)/(2)` centimeters tall; and it is asked to find its volume. In order to find the volume of the prism, you should substitute the given values into the previous mention formula.


`V=Bh`

`V=(5 cm)( (9)/(2)cm)( (7)/(2)cm)`

`V=( (45)/(2)cm^(2))( (7)/(2)cm)`

`V= (315)/(4)cm^(3)` or
`78(3)/(4) cm^(3)`

The volume of the prism is
`78(3)/(4) cm^(3)`.