Question

What is the volume of the following rectangular prism? the height is 5 and 1/4 and the base is 8

Answer 1

`\huge\boxed{V=42\ u^3}`

Explanation:

Th formula of a volume of a prism:

`V=BH`

B - base

H - height

We have

`B=8;\ H=5(1)/(4)=(5\cdot4+1)/(4)=(20+1)/(4)=(21)/(4)`

Substitute:

`V=(8)\left((21)/(4)\right)` simplify 8 and 4

`V=(8\!\!\!\!\diagup)\left((21)/(4\!\!\!\!\diagup)\right)=(2)(21)=42`

Answer 2

V = 42 units ^3

Explanation:

The volume of a rectangular prism is

V =Bh

V = 8*5 1/4

Changing to a mixed number

V = 8* ( 5*4+1) /4

=8*21/4

= 42 units^3