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kaylabay1997
21.08.2021 •
Mathematics
Question 2 (4) 2.1 Thandi hires a storage unit in the shape of a rectangular prism like the one shown below. The door of the storage unit is 2 metre by 2metre. The distance from the door to the back wall of the storage unit is 3 metre. Thandi wants to know how many cubical boxes she can fit in the storage unit. The height of a box is 45cm. Hint: The door has the same dimensions as the back wall of the storage unit (2) (2) (2) (4) [21 2.1.1 Calculate the volume of the storage unit. (2) (6) 2.1.2 Thandi calculate the volume of the storage unit and then divided the answer by the volume of a box. Her answer of 131 boxes is not correct. Show the correct method and calculations and explain why Thandi's method is not the correct method to calculate the number of boxes that can fit into the storage unit.
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Ответ:
We can set up a system of equations to describe the situation using b for Ben's age and i for Ishaan's age:
b = 4i
(b - 6) = 6(i - 6)
Simplify the second equation:
b - 6 = 6i - 36
b = 6i - 30
Now we have two equations solved for b. We can set them equal to each other to solve for Ishaan's age:
4i = 6i - 30
-2i = -30
2i = 30
i = 15
Ishaan is 15 years old.