Quadratic Equation Word Problem To Expression - 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.

Quadratic Equation Word Problem To Expression - Volume from Sheet Worksheet

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Quadratic Equation Word Problem To Expression - Volume from Sheet
1
A box is made from a 5cm by 7cm sheet of carboard by cutting x cm into each side and folding up.
What equation gives the volume of the box?
a A LaTex expression showing V(x) = (5 + 2x) times (7 + 2x)
b A LaTex expression showing V(x) = (5 - 2x) times (7 - 2x)
c A LaTex expression showing V(x) = (2 times 5 + x) times (2 times 7 + x)
2
A box is made from a 8cm by 2cm sheet of carboard by cutting x cm into each side and folding up.
What equation gives the volume of the box?
a A LaTex expression showing V(x) = (2 times 8 + x) times (2 times 2 + x)
b A LaTex expression showing V(x) = (8 - 2x) times (2 - 2x)
c A LaTex expression showing V(x) = (8 + 2x) times (2 + 2x)
3
A box is made from a 5cm by 3cm sheet of carboard by cutting x cm into each side and folding up.
What equation gives the volume of the box?
a A LaTex expression showing V(x) = (5 - 2x) times (3 - 2x)
b A LaTex expression showing V(x) = (2 times 5 + x) times (2 times 3 + x)
c A LaTex expression showing V(x) = (5 over 2 - x) times (3 over 2 - x)
4
A box is made from a 9cm by 9cm sheet of carboard by cutting x cm into each side and folding up.
What equation gives the volume of the box?
a A LaTex expression showing V(x) = (9 + 2x) times (9 + 2x)
b A LaTex expression showing V(x) = (9 - 2x) times (9 - 2x)
c A LaTex expression showing V(x) = (2 times 9 + x) times (2 times 9 + x)
5
A box is made from a 4cm by 6cm sheet of carboard by cutting x cm into each side and folding up.
What equation gives the volume of the box?
a A LaTex expression showing V(x) = (4 over 2 - x) times (6 over 2 - x)
b A LaTex expression showing V(x) = (4 + 2x) times (6 + 2x)
c A LaTex expression showing V(x) = (4 - 2x) times (6 - 2x)
6
A box is made from a 4cm by 9cm sheet of carboard by cutting x cm into each side and folding up.
What equation gives the volume of the box?
a A LaTex expression showing V(x) = (4 over 2 - x) times (9 over 2 - x)
b A LaTex expression showing V(x) = (4 - 2x) times (9 - 2x)
c A LaTex expression showing V(x) = (4 + 2x) times (9 + 2x)
7
A box is made from a 7cm by 3cm sheet of carboard by cutting x cm into each side and folding up.
What equation gives the volume of the box?
a A LaTex expression showing V(x) = (7 - 2x) times (3 - 2x)
b A LaTex expression showing V(x) = (7 over 2 - x) times (3 over 2 - x)
c A LaTex expression showing V(x) = (7 + 2x) times (3 + 2x)
8
A box is made from a 2cm by 4cm sheet of carboard by cutting x cm into each side and folding up.
What equation gives the volume of the box?
a A LaTex expression showing V(x) = (2 times 2 + x) times (2 times 4 + x)
b A LaTex expression showing V(x) = (2 - 2x) times (4 - 2x)
c A LaTex expression showing V(x) = (2 over 2 - x) times (4 over 2 - x)