Unit 1 Review – Answer Key
1. There can be several answers. Examples: 11 x 2 x ((4 + 6) – 9) or 11 + 2 + 9. You do not
have to use all the cards.
2. Draw the dotted lines in and count. The number sentence would be 7 x 2 ½ = 17 ½
3. a. 63 b. 39 c. 9
4. A) bathtub
d. 5
C) can of tomato sauce E) the inside of a planet
5. a. They could get different volumes for the same box because the balls would not fit in
the box without creating a lot of gaps while the cubes can fit in the box without creating
gaps so you can fit more of them in. Also, the size of the cubes or balls can have an
effect on how many can fit in the box.
b. Cubes are better for measuring the volume of a rectangular prism because they can
stack in the rectangular prism without creating gaps.
6. 162 cubes 162 cubic units
7. 150 cubes 150 cubic units
8. You can find how many in a layer and then multiply that by how many layers. You can
find the length, width, and height and multiply.
9. 49 squares
10. a. You can multiply the fraction’s denominator times itself. This would give you how
many small squares would fit in the one larger square.
b. The denominator is 9, so 9 x 9 = 81. So 81 squares with the side length of 1/9 would
fit in 1 square inch.
c. V = l x w x h so V = 5 x 7 x 9 so V = 35 x 9 since the bottom layer would have 35
cubes and there are 9 layers of them. There are a total of 315 cubes in the rectangular prism.
So the volume is 315 cubic units.
11. V = B x h. Since the base is equal to 9 square feet and I have 8 levels of them, there are
72 cubes in the rectangular prism. V = 9 x 8.
12. (36 + 12) / 2 = 24 so the answer is $24
13. V = 147 + 56 = 203 cubes or 203 cubic units
14. a. V = 7 x 4 x 9 = 252 cubes which is 252 cubic inches
b. V = (3 x 5 x 3) + (6 x 4 x 8) = 237 cubes which is 237 cubic inches