To make everything easier, it's best to turn the mixed numbers into improper fractions.
24 * 8 = 192 + 3/8 = 195/8
4 * 8 = 32 + 7/8 = 39/8
The question asks how many 39/8-inch long pieces the worker cut from a 195/8-inch long board, meaning we have to divide.
195 / 39 = 5
The worker cut the board into 5 pieces.
To find the GCF, first you must factor the 2 or more numbers. The GCF is the highest factor the numbers have in common. for example: you have 12 and 8. If you factor out the numbers for 12, you get
1,2,3,4,6,12
For 8, you get:
1,2,4,8
the GCF of this pair is 4 because it is the highest number that goes into both 8 and 12.
To find the LCM, you must find the first number that was multiplied and it must be the same. lets take 3 and 5. Multiply 3 by as many numbers you can think of. For now, lets just go up to 10.
3, 6, 9, 12 15, 18, 21, 24, 27, 30
now to the same for 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50
in both 3 and 5, the first set of numbers that match in 30- therefore the LCM of 3 and 5 in 30. I hope this helps!
Answer:
See the attached
Step-by-step explanation:
<u>Rectangular prism</u> — the lower case letters l, w, h in the formula stand for the values of Length, Width, and Height of the prism. Put the numbers in the formula and do the arithmetic. (As you know, when numbers are written next to each other, it means they are multiplied.)
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<u>Triangular Prism</u> — The formula is essentially ...
V = Bh
where B is the area of the (triangular) base of the prism, and h is its height (or length in this case). The area of the triangular base is given by the formula ...
B = (1/2)bh
where b is the base of the triangle (10 mm) and h is the height of the triangle (12 mm). The fact that the sides of the triangle are 13 mm is irrelevant for the volume calculation (but will be important for surface area calculation).
So, some confusion could arise here because the variable h is used for two different measurements of this prism. The attachment tries to sort it out for you using colors and arrows to identify what is what. (I apologize for the green not coming out very clear. The number in the formula is the same 10 mm number indicated on the prism diagram.)