The total surface area of the remaining solid is 48(4+✓3) centimeters square.
<h3>How to calculate the surface area?</h3>
Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.
The formula for the total surface area will be:
= Total surface area=2(area of the base)+ parameter of base × height
where,
Height= 8cm
Parameter of base=12(2) = 24
Area of the base= 6×✓3/4×4² = 64✓3/4
The surface area of the remaining solid will be:
= 2(64✓3/4) + 24 × 8
= 2(64✓3/4 + 192
With the hole is a rhombus prism with the following parameters:
diagonal 1 = 6, diagonal 2 = 8, height = 12
The volume is:
V1 =0.5 × d1 × d2 × h
V1 = 0.5 × 6 × 8 × 12
V1 = 96
The dimensions of the hexagonal prism are:
Base edge (a) = 8
Height (h) = 12
The volume is
V2 = (3✓(3)/2)a²h
V2 = (3✓3)/2) × 8² × 12
V2 = 1152✓3
The remaining volume is
V = V2 -V1
V = 1152✓3 - 96
Learn more about the hexagonal prism on:
brainly.com/question/27127032
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Answer:
66.138679
Step-by-step explanation:
1 ton = 907.185
60,000/907.185 = 66.138679
You're welcome
Answer:
225 necklaces.
Step-by-step explanation:
Assuming that they have the necessary amount of straws to match the beads then we can use the following simple equation to solve this problem.
t = b/12 ... where t is the total amount of necklaces and b is the number of beads you have
t = 2700 / 12
225 necklaces.
For 225 necklaces you would also need 1125 straws since each necklace requires 5 straws to be fully made. Therefore if you have this amount you should not run into any problems.
Answer:
The volume can be found by multiplying these two numbers, which is
65/4 x 1/2
65/8 units^3
Let me know if this helps!
Answer:
D) 12x² - 20x + 7
Step-by-step explanation:
Use FOIL when multiplying 2 binomials...
FOIL is Firsts, Outsides, Insides, Lasts. It's the order in which you multiply the numbers in the binomials...
(2x - 1)(6x - 7)
Firsts: (2x)(6x) = 12x²
Outsides: (2x)(-7) = -14x
Insides: (-1)(6x) = -6x
Lasts: (-1)(-7) = 7
Now add them up...
12x² - 14x - 6x + 7
12x² - 20x + 7
