Polynomials Volume

Polynomials Volume

10th Grade

18 Qs

quiz-placeholder

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Polynomials Volume

Polynomials Volume

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSA.APR.A.1

Standards-aligned

Created by

Anthony Clark

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18 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

1 min • 3 pts

SHOW ALL WORK A metal worker wants to make an open top box out of a sheet of metal by cutting equal squares from each corner. The sheet of metal is a 10 inch by 14 inch rectangle. Using your dimensions from the previous question, write a function in standard form in terms of x to represent the volume of the box.

2.

FILL IN THE BLANK QUESTION

1 min • 2 pts

SHOW ALL WORK

Using your calculator or Desmos, determine the dimensions that will maximize the volume of the box. Round to two decimal places.

Hint: plug in x-value of max!

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Given the open top box, what is the maximized volume of the box?

2

3

4

5

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

A 16cm x 30cm sheet of rectangular cardboard is folded such that an open topic box is created. What are the dimensions that maximize the volume?

16cm x 30cm x 0cm

23cm x 9cm x 3 cm

8cm x 15cm x 4cm

23.3cm x 9.3cm x 3.3cm

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A

B

C

D

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

A box is created from a square piece of cardboard by cutting a square from each corner and then folding up the sides.

What would be the total volume, in standard form, that the pictured cardboard could hold?

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