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.

The lateral area is .

The area of the two bases together is .

The total surface area is

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

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`

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`