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notsponge [240]
3 years ago
6

If a rectangular prism and a cylinder have the same height and volume, what is their cross sectional area parallel to the bases

if the base of the rectangular prism has a length of 5 inches and a width of 2 inches?
Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
6 0

Answer:

10 square inches

Step-by-step explanation:

Rectangular prism volume = area of the base * height

Cylinder volume = area of the base * height

Given that the volumes are equal, then the areas are equal.

Area of the base of the rectangular prism = length * width = 5*2 = 10 square inches = Area of the base of the cylinder

Their cross sectional area parallel to the bases are congruent to the bases.

STALIN [3.7K]3 years ago
4 0

Answer:

10 in.2

Step-by-step explanation:

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Mr. Wilson invested money in two accounts his total investment was $8000. If one account pays 6% and interest and the other pays
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Answer:

<u>Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the investment = $ 8,000  

Interest rate of the first account= 6% simple  

Interest rate of the second account= 12% simple  

Interest of the accounts in a year = $ 600  

2. How much did he invest in each account?

For answering the question, we will use the following equation:  

x = Amount invested in the first account  

8,000 - x = Amount invested in the second account  

0.06x + 0.12 * (8,000 - x) = 600

0.06x + 960 - 0.12x = 600

-0.06x = 600 - 960 (Subtracting 960 at both sides)

-0.06x = -360

x = -360/-0.06

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