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2 years ago

A plate that is 49cm2 what is the approximate side length? Please help!

1 answer:

4 0

Assuming it is a square plate, and the area is 49 square cm, each side length should be 7. Length times width equals the area, and 7 times 7 is 49 square cm. Hope this helps!

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A glass container can hold 216a^3 cubic cm of water. inside the glass container is a metallic cube with a volume of 64b^3 cubic

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Answer:

$16(3a-2b)(4a^2+3ab+2b)$

Step-by-step explanation:

We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold $216a^3-64b^3=(6a)^3-(4b)^3$ cubic cm of water.

Using the difference of cubes formula(you can prove this by expanding back out again), we get that $(6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)$

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