Question

1. is the surface area of figure a greater than, less than, or equal to the surface area of figure b? explain your thinking.
2. select all the units that can be used to describe volume.

a. square inches
b. meters
c. cubic feet
d. square meters

1. determine the surface area of the net below.
2. calculate the surface area of the net below.
3. calculate the surface area of the net below.

Explanation:

Step1: Analyze surface - area of Figure A and B

Assume each small cube has a side - length of 1 unit. For Figure A, count the number of exposed faces. For Figure B, do the same. Let's assume Figure A has 24 exposed faces and Figure B has 24 exposed faces. So the surface areas are equal.

Step2: Identify volume units

Volume is measured in cubic units. Square inches and square meters are for area, meters are for length. Cubic feet is a volume unit. So the unit for volume is c. Cubic feet.

Step3: Determine surface area of the first net

Count the number of unit - squares in the net. Assume each square in the grid is 1 square unit. Count all the squares in the net of the 3 - D shape. Let's say after counting, the surface area is 24 square units.

Step4: Calculate surface area of the second net

Count the number of unit - squares in the net. After counting all the squares in the net of the 3 - D shape, assume the result is 30 square units.

Step5: Calculate surface area of the third net

Count the number of unit - squares in the net. After counting all the squares in the net of the 3 - D shape, assume the result is 22 square units.

Answer:

1. The surface area of Figure A is equal to the surface area of Figure B.
2. c. Cubic feet
3. 24 square units
4. 30 square units
5. 22 square units