A layered birthday cake has two rectangular prism layers. The base layer measures 12 inches by 10 inches.The second layer is thr ee inches smaller in width and length as the previous layer. Both of the layers are 4 inches taller. What is the volume of the cake?
1 answer:
Answer:
The answer to your question is 732 in³
Step-by-step explanation:
Data
Rectangular prism layers
Base layer = 12 in x 10 in x 4 in
Second layer = 3 in smaller x 4 in
Volume = ?
Formula
Total volume = Volume of the base layer + Volume of the second layer
Total volume = length 1 x width 1 x height + length 2 x width 2 x height
Substitution
Total volume = 12 x 10 x 4 + (12 - 3)(10 - 3)(4)
Simplification
Total volume = 480 + (9)(7)(4)
Total volume = 480 + 252
Result
Total volume = 732 in³
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Hey there :)
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
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so
and
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1 = - tan²x = sec²x or sec²x - tanx = 1
Answer:
3/4
Step-by-step explanation:
Slope = rise over run
Rise = (-5) - (-2)
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3/4
The answer to this question is B. 130cm^2.
Using the volume formula for a sphere (V = (4/3)πr^3) you can plug in the values that we know to find the radius to be around 3.22117 cm. You can then use the area of a sphere formula (A = 4πr^2) to find the area. Hope this helps :)
Answer:9 1/2
Step-by-step explanation: