Study Guide 6th Grade Unit 6 (GA5)
1. Which measurement do you need to find…
CC.6.G.2
…how much paint will it take to paint the box? Volume or Surface Area
…how much paint will it take to fill the paint tray? Volume or Surface Area
…how much rice will fit in the box? Volume or Surface Area
…how much leather will it take to cover the treasure box? Volume or Surface Area
2. Find the area of the parallelogram.
Only use the base times the height. The 5.9 is there to trick you.
5.3 ∙ 12 = 63.6
5.9
5.3
cm
CC.6.G.1
12
Answer is: 63.6 units squared
3. Find the area.
CC.6.G.1
5.2
Formula is ½ (base times height)
8.2 ∙ 5.2 = 42.64 units squared
8.2
4. Find the area of the whole figure.
Formula is ½ times base times height.
2
½ (42 ∙ 28) = 588 in
28m
CC.6.G.1
The 35’s are not needed. You only need the height and base.
42m
5. Find the area of this 2-dimensional figure.
½ base times height
½ (24 ∙ 4) = 48 ft2
Area of whole figure is
CC.6.G.1
240 ft2
Base times height
24 ∙ 8 = 192 ft2
9
6. Find the area of this figure.
6 ∙ 9 = 54 and 1 ∙ 8 = 8
54 + 8 = 62 units2
CC.6.G.1
6
1
17
OR: 17 ∙ 1=17 and 5 ∙ 9 = 45
17 + 45 = 62 units2
7. 11. Draw a net for this 3-D figure.
.
CC.6.G.4
6th Math Unit 6(5) Study Guide Page 1
This wood needs to be painted. Note: All cutouts are the same size.
8
CC.6.G.1
4
5
30
8. How many square feet need to be painted? 8 ∙ 30 = 240 ; 4(4 ∙ 5) =80; 240 – 80 = 160
9. The paint costs $4.25 per quart and will cover 25 square feet. How many
quarts does Avery need?
160 ÷ 25 = 6.4 , so we need 7 quarts
10. How much will it cost to buy the paint?
7 ∙ 4.25 = $29.75
ft2
11. Draw a net for this figure.
CC.6.G.4
Base ∙ height ∙ depth
6∙3∙2=
3cm
12. Find the volume.
6 cm
CC.6.G.2
36 cm2
2cm
13. If the volume of a cube is 27 feet cubed, then what is the length of one side?
(because 3 ∙ 3 ∙ 3 = 27)
3 ft
CC.6.G.2
14. Ted is hauling sand from the large pile to the new sandbox. Ted’s wagon is 3.2 feet long, 2 feet wide,
and 1.5 feet high. How many trips will Ted have to make before he has at least 35 cubic feet of sand
for the sandbox?
3.2x1.5x2=9.6 each trip; Need 4 trips
CC.6.G.2
15. Find the surface area of the prism.
4x6=24 (both triangles)
6x8=48
4x8=32
9x8=72
CC.6.G.4
9cm
2
176 cm
16. Find the volume of the rectangular prisms.
CC.6.G.2
Volume = b∙h∙d
3
4∙3∙4= 48 units
Volume = b∙h∙d
4∙3∙3= 36
units3
6th Math Unit 6(5) Study Guide Page 2