Question

A rectangular prism that measures 3 inches by 5 inches by 10 inches

Answer 1

The volume of the rectangular prism is
`V=150\ in^(3)`

The surface area of the rectangular prism is equal to
`SA=190\ in^(2)`

Explanation:

step 1

Find the volume of the rectangular prism

The volume of rectangular prism is equal to

`V=LWH`

substitute the given values

`V=(3)(5)(10)=150\ in^(3)`

step 2

Find the surface area of the rectangular prism

the surface area of the rectangular prism is equal to

`SA=2B+PH`

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Find the area of the base B

`B=LW`

substitute

`B=(3)(5)=15\ in^(2)`

Find the perimeter of the base P

`P=2(L+W)=2(3+5)=16\ in`

The height H is equal to

`H=10\ in`

substitute

`SA=2(15)+(16)(10)=190\ in^(2)`