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Kitty [74]
3 years ago
5

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

Mathematics
2 answers:
den301095 [7]3 years ago
5 0

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

Angelina_Jolie [31]3 years ago
4 0

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

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