Surface area and volume of prisms and cylinders

Flashcard
•
Mathematics
•
7th - 8th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the surface area of a rectangular prism?
Back
Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.
Tags
CCSS.7.G.B.6
2.
FLASHCARD QUESTION
Front
What is the formula for the volume of a rectangular prism?
Back
Volume = lwh, where l = length, w = width, h = height.
Tags
CCSS.7.G.B.6
3.
FLASHCARD QUESTION
Front
What is the formula for the surface area of a cylinder?
Back
Surface Area = 2πr(h + r), where r = radius, h = height.
4.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cylinder?
Back
Volume = πr²h, where r = radius, h = height.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
FLASHCARD QUESTION
Front
What is the difference between surface area and volume?
Back
Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.
6.
FLASHCARD QUESTION
Front
If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?
Back
Volume = π(3 cm)²(5 cm) = 45π cm³ ≈ 141.37 cm³.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
FLASHCARD QUESTION
Front
If a rectangular prism has dimensions 4 cm, 3 cm, and 2 cm, what is its surface area?
Back
Surface Area = 2(4*3 + 4*2 + 3*2) = 2(12 + 8 + 6) = 52 cm².
Tags
CCSS.7.G.B.6
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