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

Question

asked Jan 23, 2020 182k views

1 Answer

Avanek · Answer 1 · 2020-01-28T10:18:02+0000

Answer:

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

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