1.
A cube has a surface area of 150 square inches. What is its volume?
75 cubic inches
125 cubic inches
150 cubic inches
225 cubic inches
2.
A cube is painted blue on all faces and then cut into 27 smaller cubes of equal size. How many small cubes have no blue paint on them?
1
8
19
26
3.
If two dice are rolled, what is the probability that the product of the numbers rolled is even?
1/4
1/2
3/4
5/6
4.
If three fair six-sided dice are rolled, what is the probability of getting a sum of 18?
1/216
1/108
1/72
1/36
5.
A cube is painted red on all faces. It is then cut into 64 smaller cubes of equal size. How many small cubes have exactly one face painted red?
24
36
48
54
6.
A cube has a side length of 12 cm. What is the volume of the cube in cubic centimeters?
144
360
720
1728
7.
A cube has a diagonal length of √75 inches. What is the surface area of this cube?
100 square inches
150 square inches
200 square inches
300 square inches
8.
If three fair six-sided dice are rolled, what is the probability of getting three different numbers?
1/6
1/3
5/9
2/3
9.
A standard six-sided die is rolled. What is the probability of rolling a prime number?
1/6
1/3
1/2
2/3
10.
A cube is painted yellow on all its faces and then cut into 8 smaller cubes of equal size. How many smaller cubes have three yellow faces?
4
6
8
12
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