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pashok25 [27]
2 years ago
13

A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11)cm.

Mathematics
1 answer:
Marta_Voda [28]2 years ago
3 0

Answer:

Dimensions = 4cm, 11cm and 21cm

  OR

Dimensions = 4cm, -21cm and -11cm

Step-by-step explanation:

Solving the quadratic equation by using the factorization method;

x² + 12x - 220 = 0

Factors = 22 and -10

x² + 22x - 10x - 220 = 0

x(x + 22) - 10(x + 220) = 0

(x - 10)(x + 22) = 0

Therefore, x = 10 or x = -22

<u>Given the following data;</u>

Length of one side = (x + 1)cm

<u>When x = 10</u>

Length of one side = (10 + 1)cm

Length of one side = 11cm.

<u>When x = -22 </u>

Length of one side = (-22 + 1)cm

Length of one side = -21cm

Length of the other side = (x + 11)cm

<u>When x = 10</u>

Length of the other side = (10 + 11)cm

Length of the other side = 21cm

<u>When x = -22 </u>

Length of the other side = (-22 + 11)cm

Length of the other side = -11cm

<u>Check;</u>

Volume of a cuboid = L*L*L

Volume of a cuboid = 4 * 11 * 21

Volume of a cuboid = 924cm³

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