Question

A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.

Answer 1

Answer: it’s 88 units squared 60 units squared and 148 units squared

Step-by-step explanation: your trying to look for the bases that are shaded and trying to find the lateral area area of two bases and total surface area

Answer 2

Answer:

Part 1) The lateral area is $LA=88\ units^2$

Part 2) The area of the two bases together is $2B=60\ units^2$

Part 3) The surface area is $SA=148\ units^2$

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

$LA=Ph$

where

P is the perimeter of the base

h is the height of the prism

so

$P=2(6+5)=22\ units$ ----> perimeter of rectangle

$h=4\ units$ ---> given

substitute

$LA=22(4)=88\ units^2$

Part 2) The area of the two bases together is?

The area of the rectangular base B is equal to

$B=(6)(5)=30\ units^2$

therefore

The area of the two bases together is

$2B=2(30)=60\ units^2$

Part 3) The total surface area is

we know that

The surface area is equal to

$SA=2B+LA$

substitute

$SA=60+88=148\ units^2$