What shapes form the bases of a prism?
Calculating Surface Area of Prisms and Cylinders
Interactive Video
•
Ethan Morris
•
Mathematics
•
6th - 10th Grade
•
Hard
In this video, Mario from Mario's Math Tutoring explains how to find the surface area of prisms and cylinders. He begins by introducing the concept of surface area and the similarities between prisms and cylinders. For prisms, he describes the formula involving the area and perimeter of the base, and demonstrates with a square prism example. For cylinders, he explains the formula using the area of the circles and the circumference for the lateral area, providing a detailed example. The video aims to simplify the process of calculating surface area for these shapes.
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Hexagons
Triangles
Squares
Circles
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why are prisms and cylinders grouped together when discussing surface area?
Because they both have only flat surfaces
Because they can both be unfolded into a rectangle
Because they have the same formulas for surface area
Because they both have two bases that are parallel and congruent
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the surface area of a prism?
Area of the base + height
2 times the area of the base + perimeter of the base times height
Length times width times height
Perimeter of the base times height
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the area of a rectangle?
Length + Width
Length times Width
2 times (Length + Width)
Length / Width
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the 'P' represent in the formula for the surface area of a prism?
The PI value
The perimeter of the base
The product of the base's sides
The power of the base
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the circumference of the circle represent in the context of a cylinder's surface area?
The height of the cylinder
The radius of the base
The length of the rectangle formed when the cylinder is opened
The area of the base
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the area of a circle?
2 * PI * radius squared
PI * radius squared
PI * radius
2 * PI * radius
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula to calculate the surface area of a cylinder?
2 * (PI * radius squared) + (2 * PI * radius * height)
2 * PI * radius squared + 2 * PI * radius * height
PI * radius squared * height
2 * PI * radius + 2 * PI * height
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the units used to express area?
Quadratic units
Square units
Linear units
Cubic units
10.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What geometric shapes make up the surface area of a cylinder?
Two rectangles and a circle
Two circles and a square
Two circles and a rectangle
A circle and a rectangle
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