Please Help me please

Question

Over 1.2 million square feet of travertine stone from Italy was used to construct the Getty Museum. It was mined in large slabs that measured 6 meters high, 12 meters wide, and 2 meters deep. Find the surface area of one of these slabs.

Answer 1

Remember the area of a rectangle is found by multiplying the length times the width

So, imagine this slab. It is the shape of a box that is 16 meters tall. The top of the box measures 12 meters by 2 meters, therefore the bottom of the box will measure this also.

One side of the box (the front) would measure 16 meters by 2 meters, as would the opposite side (back side).

The 2 remaining sides (right side and left side) would measure 16 meters by 12 meters each.

The area of the top of the slab would be found by 12 meters x 2 meters = 24 meters².

The bottom of the slab would also have an area of 24 meters^2.

The area of the front side of the slab would be found by 16 meters x 2 meters = 32 meters².

The back side of the slab would also have an area of 32 meters².

The area of the right side of the slab would be found by 16 meters x 12 meters = 192 meters².

The left side of the slab would also have an area of 192 meters².

To find the total area of the slab, you must add the area of the six sides together.

24 meters² + 24 meters² + 32 meters² + 32 meters² + 192 meters ² + 192 meters² = 496 meters².

Answer 2

The surface area of a "box" (or slab) is simply the area (length x width)of:

1. front + back sides (6x12)(2) = 144
2. left + right sides (6x2)(2) = 24
3. top + bottom (12x2)(2) = 48
4. Total = 216 meters²

Does this process make sense to you and help?