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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

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calculista

Answer:

Part 1) The lateral area is [tex]LA=88\ units^2[/tex]

Part 2) The area of the two bases together is [tex]2B=60\ units^2[/tex]

Part 3) The surface area is [tex]SA=148\ units^2[/tex]

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

[tex]LA=Ph[/tex]

where

P is the perimeter of the base

h is the height of the prism

so

[tex]P=2(6+5)=22\ units[/tex] ----> perimeter of rectangle

[tex]h=4\ units[/tex] ---> given

substitute

[tex]LA=22(4)=88\ units^2[/tex]

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

The area of the rectangular base B is equal to

[tex]B=(6)(5)=30\ units^2[/tex]

therefore

The area of the two bases together is

[tex]2B=2(30)=60\ units^2[/tex]

Part 3) The total surface area is

we know that

The surface area is equal to

[tex]SA=2B+LA[/tex]

substitute

[tex]SA=60+88=148\ units^2[/tex]

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

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