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Quadratic Equation Word Problem To Expression (Standard Form) - Volume from Sheet

Level 1

The topics in this unit focus on constructing and solving quadratic equations from word problems. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

WorksheetView

Quadratic Equation Word Problem To Expression (Standard Form) - Volume from Sheet Worksheet

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Quadratic Equation Word Problem To Expression (Standard Form) - Volum...
1
A box is made from a 3cm by 10cm sheet of carboard by cutting x cm into each side and folding up.
What quadratic equation, in standard form, comes from calculating the volume of the box?
a A LaTex expression showing V(x) = 4x to the power of 2 + 26x + 30
b A LaTex expression showing V(x) = 0x to the power of 2 + 29x + 30
c A LaTex expression showing V(x) = 6x to the power of 2 + 26x + 27
2
A box is made from a 11cm by 2cm sheet of carboard by cutting x cm into each side and folding up.
What quadratic equation, in standard form, comes from calculating the volume of the box?
a A LaTex expression showing V(x) = 4x to the power of 2 + 26x + 22
b A LaTex expression showing V(x) = 4x to the power of 2 + 25x + 27
c A LaTex expression showing V(x) = 7x to the power of 2 + 26x + 26
3
A box is made from a 6cm by 10cm sheet of carboard by cutting x cm into each side and folding up.
What quadratic equation, in standard form, comes from calculating the volume of the box?
a A LaTex expression showing V(x) = 4x to the power of 2 + 32x + 60
b A LaTex expression showing V(x) = 5x to the power of 2 + 34x + 60
c A LaTex expression showing V(x) = 0x to the power of 2 + 36x + 60
4
A box is made from a 9cm by 9cm sheet of carboard by cutting x cm into each side and folding up.
What quadratic equation, in standard form, comes from calculating the volume of the box?
a A LaTex expression showing V(x) = 1x to the power of 2 + 40x + 81
b A LaTex expression showing V(x) = 4x to the power of 2 + 36x + 81
c A LaTex expression showing V(x) = 4x to the power of 2 + 40x + 79
5
A box is made from a 5cm by 11cm sheet of carboard by cutting x cm into each side and folding up.
What quadratic equation, in standard form, comes from calculating the volume of the box?
a A LaTex expression showing V(x) = 9x to the power of 2 + 32x + 59
b A LaTex expression showing V(x) = 4x to the power of 2 + 32x + 55
c A LaTex expression showing V(x) = 6x to the power of 2 + 32x + 60
6
A box is made from a 6cm by 7cm sheet of carboard by cutting x cm into each side and folding up.
What quadratic equation, in standard form, comes from calculating the volume of the box?
a A LaTex expression showing V(x) = 4x to the power of 2 + 26x + 42
b A LaTex expression showing V(x) = 4x to the power of 2 + 24x + 39
c A LaTex expression showing V(x) = 7x to the power of 2 + 25x + 42
7
A box is made from a 3cm by 9cm sheet of carboard by cutting x cm into each side and folding up.
What quadratic equation, in standard form, comes from calculating the volume of the box?
a A LaTex expression showing V(x) = 4x to the power of 2 + 24x + 27
b A LaTex expression showing V(x) = 1x to the power of 2 + 24x + 27
c A LaTex expression showing V(x) = 4x to the power of 2 + 27x + 29
8
A box is made from a 7cm by 5cm sheet of carboard by cutting x cm into each side and folding up.
What quadratic equation, in standard form, comes from calculating the volume of the box?
a A LaTex expression showing V(x) = 4x to the power of 2 + 24x + 35
b A LaTex expression showing V(x) = 7x to the power of 2 + 24x + 39
c A LaTex expression showing V(x) = 4x to the power of 2 + 21x + 32