Surface Area of Prisms and Cylinders

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Geometry

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We can calculate the surface area of a rectangular prism by adding the areas of _____ total surfaces. *

1 point

One main feature of a prism is that it always has two identical bases parallel to each other. *

1 point

true

false

What is the total surface area of a rectangular prism having a length of 3, a width of 4, and a height of 5? *

1 point

94 u²

60 u²

68 u²

72 u²

108 u²

When we "unroll" a cylinder, the components are made of two ______, and one ______. *

1 point

squares ; rectangle

circles ; pyramid

circles ; rectangle

cones ; pyramid

What is the total surface area of a cylinder having a radius of 1 and a height of 8? *

1 point

24π u²

18π u²

16π u²

20π u²

Please use the following image for the questions that follow.

In the image above, the base(s) is/are what shape? *

1 point

rectangle

right triangles

pretty good shape, treadmill and yoga mostly

What is the total surface area of the triangular prism above? *

1 point

1000 u²

120 u²

2500 u²

600 u²

132 u²

The number of lateral faces in a prism is always equal to the number of sides the base has. *

(Hint: what type of shape is each lateral face? A rectangle. How many rectangles would there need to be, compared to the number of sides the base has?)

1 point

true

false

Doesn't matter. I am the ace of base.

Suppose the lateral area of a cylinder is 20π cm². What would the radius have to be, in order for the total surface area to be 28π cm²? *

(Hint: the challenge is that the height isn't given here. Try to pick some easy numbers that could work for the radius and height, which create a lateral area of 20π. Then verify your numbers produce a total surface area of 28π. There won't be any decimals.)

1 point

1 cm

2 cm

4 cm

6 cm

8 cm

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