a cardboard box is open at one end and is shaped like a square prism missing one of its square bases. the volume of the prism is 810 cubic inches and its height is 10 inches. what is the length of each side of the base? how much cardboard is used for the box?

Answers

Answer 1

Answer: The correct answer for the question that is being presented above is this one: "9 inches; 441 in^2"

The volume of a square prism is
Volume = s^3 = lwh

Given that the volume is 810 in^3 and the height is 10 inches
810 = 10 * s^2
81 = s^2
s = 9 inches

So, the length of each side of the base is 9 inches
Then, the total area used in order to make a cardboard is that,
= 9^2 + 4 ( 10*9)
= 81 + 4(90)
= 81 + 360
= 441 square inches.

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3. In dividing 12m2 - 20m + 3 by 2m - 3,
what is the first step?

Answers

Answer:

by dividing answer is 6m-1

Explain how to use the combine place values strategy to find 223-119

Answers

Combine place value strategy is useful if you try to subtract a number with bigger digits from a number with a smaller digit in the same place... such as now, where 3 is smaller than 9 in the ones place.

Then we can combine two place values: 23 and 19 and subtruct those. 23-19 is 4 (you can just count up from 19 to 23), so you know that the two will give the result of 04, and then you can proceed to the left: 2-1=1.

so the final result will 104.

Hope I helped:P

Simplify x0y-3/x2y-1

Answers

Answer:

For x: We subtract the exponents,

this way. 0 - 2 = -2

For y: We subtract the exponents,

this way. -3 - -1 = -2

x -² y -²

Nancy divided her marbles into 4 equal piles. What fraction of the total marbles would 3 piles be?

Answers

Total amount of piles: 4.

3 out of 4 piles would be used, so 3/4 of the total marbles would be in the three piles.

Hope this helps ;)

8. Judges in a skateboarding competition gave scores of 8.2, 81, 81, 8.4Which two scores were closest to one another? Explain.

Answers

Do you have answer options for this question?

Which answer represents the series in sigma notation? −5+(−1)+3+7+11

Answers

Answer:

In sigma notation, the series may be represented as,

$\sum_(x = 0)^(4)(-5 + 4x)$

It is an arithmetic progression with

1st term = -5

common difference = 4

no, of terms = 5

Step-by-step explanation:

The finite series is given by,

-5 + (-1) + 3 + 7 + 11

In sigma notation, the series may be represented as,

$\sum_(x = 0)^(4)(-5 + 4x)$

It is an arithmetic progression with

1st term = -5

common difference = 4

no, of terms = 5

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