Question

What is the volume of the rectangular prism?

8 1/2 cm
5 cm
3 3/4 cm
O 17 1/4 cm3
O 18 3/4 cm3
O 27 1/4 cm3
O 159 3/8 cm3

Answer 1

Option (4)

Explanation:

Volume of a rectangular prism is given by the formula,

Volume = Length × Width × Height

From the picture attached,

Length of the prism = 5 cm

Width of the prism =
`3(3)/(4)` =
`(15)/(4)` cm

Height of the prism =
`8(1)/(2)` =
`(17)/(2)` cm

Volume of the given prism =
`(5)/(1)` ×
`(15)/(4)` ×
`(17)/(2)`

=
`(5* 15* 17)/(1* 4* 2)`

=
`(1275)/(8)`

=
`159(3)/(8)` cm³

Therefore, Option (4) is the correct option.