Core Connections Geometry, 2013
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Core Connections Geometry, 2013 View details
Chapter Closure

Exercise 111 Page 574

a When watching the solid from the front, right, and top, it would look like below.
b Each of the cubes has a side length of unit. Therefore, each side of each cube must have a surface area of To find the total surface area of the solid, we will count the number of cube sides we can see from the front, left, right, top, and bottom of the solid.

In total, we have cube sides that we can see from the front, right, top, back, left, and bottom. Since there are no hidden cubes, the surface area is square units. To find volume, remember that each cube has a side of unit, so every cube has a volume of cube units. The solid has cubes, which means the volume is cube units.

c From Part B, we know that the solid has a volume of . If any of the nets have the same volume, the product of the width, length and height must equal as well. Let's identify these dimensions for the three nets.
By multiplying the dimensions, we can find the volume of each box.
All of the nets have the same volume as the solid when turned into a box.