Sat Math Easy Practice Worksheet With Answer Key Page 16
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17SAT Math Easy Practice Quiz #2 Answers
11. C
(Estimated Difficulty Level: 2)
12. 25
(Estimated Difficulty Level: 2+)
Some useful facts about a cube: it is a box with length,
This problem looks tricky, especially because the word
width, and height all equal. This means that the volume
“trapezoid” was used, but don’t worry about that. Fill
3
of a cube is V = s
, where s is the length of any edge
in the figure with what is given to you!
of the cube. Also, a cube has 6 square faces, each with
2
sides of length s. So, the surface area of a cube is 6s
.
16
C
B
3
Now we’re ready! The volume is 8, so that s
= 8,
2
making s = 2. Each face has area s
= 4, so that the
24
24
total surface area is 6 · 4 = 24.
A
16
7
D
Here, I’ve drawn a dashed line straight down from point
C perpendicular to the bottom of the trapezoid, turning
it into a rectangle and triangle. Since AD = 23, the
dashed line breaks AD into two pieces of length 16 and
7. Now, use the pythagorean theorem to find the length
√
2
2
2
CD: CD
= 7
+ 24
so that CD =
625 = 25.
pg. 16
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