Surface Area of Rectangular Prisms

Flashcard
•
Mathematics
•
6th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for calculating the surface area of a rectangular prism?
Back
The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2(lw + lh + wh), where l = length, w = width, and h = height.
Tags
CCSS.7.G.B.6
2.
FLASHCARD QUESTION
Front
What is the surface area of a cube with a side length of 5 cm?
Back
The surface area of a cube is calculated using the formula: SA = 6s². For a cube with side length 5 cm, SA = 6(5)² = 150 cm².
Tags
CCSS.6.G.A.4
3.
FLASHCARD QUESTION
Front
If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its surface area?
Back
Using the formula SA = 2(lw + lh + wh), the surface area is SA = 2(4*3 + 4*2 + 3*2) = 2(12 + 8 + 6) = 2(26) = 52 cm².
Tags
CCSS.7.G.B.6
4.
FLASHCARD QUESTION
Front
What is the surface area of a rectangular prism with dimensions 10 cm x 5 cm x 2 cm?
Back
SA = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2(80) = 160 cm².
Tags
CCSS.7.G.B.6
5.
FLASHCARD QUESTION
Front
How many square units of wrapping paper are needed to wrap a cube with a side length of 3 inches?
Back
SA = 6s². For a cube with side length 3 inches, SA = 6(3)² = 54 in².
Tags
CCSS.6.G.A.4
6.
FLASHCARD QUESTION
Front
What is the surface area of a rectangular prism with a length of 6 cm, width of 4 cm, and height of 3 cm?
Back
SA = 2(6*4 + 6*3 + 4*3) = 2(24 + 18 + 12) = 2(54) = 108 cm².
Tags
CCSS.7.G.B.6
7.
FLASHCARD QUESTION
Front
If the surface area of a rectangular prism is 300 cm² and the dimensions are 10 cm, 5 cm, and h, what is the height h?
Back
Using the formula SA = 2(lw + lh + wh), we can solve for h. 300 = 2(10*5 + 10*h + 5*h). Simplifying gives h = 3 cm.
Tags
CCSS.7.G.B.6
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