Question

Fawzi’s SUV is 6ft4in tall. If he puts a 2ft10in box on top of his SUV, what is the total height of the SUV and the box?

A. What is the total height of Fawzi's SUV with the box on top?
B. Calculate the combined height of the SUV and the box.
C. Determine the increased height when the box is added to the SUV.
D. Find the sum of the SUV's height and the box's height.

Answer 1

The total height of Fawzi's SUV with the box on top is 9ft2in (C).

Step-by-step explanation

To find the combined height of the SUV and the box, add the individual heights. The SUV is 6ft4in tall, and the box is 2ft10in tall. Convert both to inches for easier addition:
`\(6 * 12 + 4 = 76\)` inches for the SUV and
`\(2 * 12 + 10 = 34\)` inches for the box. Adding these gives
`\(76 + 34 = 110\)` inches total height.

To determine the increased height when the box is added to the SUV, subtract the original height of the SUV from the total height with the box:
`\(110 - 76 = 34\)` inches. Convert this back to feet and inches: (34) inches is
`\(2 * 12 + 10 = 2ft10in\)`.

To find the sum of the SUV's height and the box's height, combine the two original heights:
`\(6 * 12 + 4 + 2 * 12 + 10 = 76 + 34 = 110\)` inches. Convert back to feet and inches: (110) ches is (9ft2in).

In conclusion, the total height of Fawzi's SUV with the box on top is (9ft2in), and the increased height due to the added box is (2ft10in). The correct answer corresponds to option (C).