Find the lateral area and surface area of the solid. Use the 2.5 by 2.5 square as the base. Round to the nearest tenth if necessary. I am unable to add a photo, the base is: 5.5…

Question

asked Dec 16, 2020 7.3k views

2 Answers

Rndmcnlly · Answer 1 · 2020-12-19T19:21:18+0000

Answer:

Part 1)
$LA=220\ ft^2$

Part 2)
$SA=280.5\ ft^2$

L = 220 ft2 ; S = 280.5 ft2

Explanation:

The correct question is

Find the lateral area and surface area of a rectangular prism. The base is a square 5.5 ft by 5.5 ft, and the height is 10 ft

Part 1) Find the lateral area

The lateral area of a rectangular prism is equal to

LA=Ph

where

P is the perimeter of the base

h is the height of the prism

we have

$P=4(5.5)=22\ ft$ ---> the perimeter of a square

$h=10\ ft$ ---> is given

substitute

$LA=22(10)=220\ ft^2$

Part 2) Find the surface area

The surface area of a rectangular prism is equal to

SA=2B+LA

where

LA is the lateral area

B is the area of the base

we have

$LA=220\ ft^2$

$B=5.5^2=30.25\ ft^2$ ----> area of a square

substitute

$SA=2(30.25)+220=280.5\ ft^2$