Answer:
1. 24 cubic units
2. 180 cubic units
3. 1/16 cubic units
Step-by-step explanation:
<u>Question 1</u>
Volume of a rectangular prism = width × length × height
= 3 × 4 × 2
= 12 × 2
= 24 cubic units
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<u>Question 2</u>
Volume of a rectangular prism = width × length × height
= 5 × 12 × 3
= 60 × 3
= 180 cubic units
<u>Question 3</u>
Volume of a rectangular prism = width × length × height
= 1/4 × 1/2 × 1/2
= 1/8 × 1/2
= 1/16 cubic units
ANSWER

EXPLANATION
The given equation is

Divide both sides by


Cancel out common factors on the left hand side,

For this solution to be a whole number, then

should be a factor of

.
The reason is that, factors of 6 will divide exactly in to 6 without a remainder, making the answer a whole number.
The whole numbers that are factors of 6 are,

Note that, the set of whole numbers are,
{

}
Answer:
2 feet 9 inches
Step-by-step explanation:
Radius = Diameter/2
Answer:
1) Yes
2) No
3) Yes
4) Yes
Step-by-step explanation:
Remember the rule: the sum of the two shortest sides must be bigger than the longest side. From there, the answers should be obvious. Just add up the smallest sides for each triplet of lengths and see if that is bigger than the largest side.
7 + 14 > 18, therefore this can be a triangle
3 + 8 < 17, therefore this can't be a triangle
3.2 + 9.0 > 11.5, therefore this can be a triangle
6 + 7 > 8, therefore this can be a triangle
Answer:
B
Step-by-step explanation:
Well you can get rid of c and d since 9^2 = 81. so 74 is less than 81 so it's definitely less than 9. Now, we know it's between 8 and 9. try multiplying 8.5 x 8.5 = 72.25. So our ranges are
A) 64 - 72.25
B) 72.25 - 81.
74 falls between 72.25 - 81. So it'll be B