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: 8
Step-by-step explanation: numbers are 5 and 3.
5²·3 =75
175000 / 100 = 1750 this step finds 1% of 175000
1750 x 4.5 = 7875 this step finds 4.5% of 175000
Commission for first house $7875
199000 / 100 = 1990 this step finds 1% of 199000
1990 x 4.5 = 8955 this step finds 4.5% of 199000
Commission for second house $8955
$7875 + $8955 = $16,830
Kensho's commission for this quarter is $16,830
Answer:
D) 1541
Step-by-step explanation:
I like to answer it w without deriving the formula of f(g(x)). So, we go this way, you firstly have to find g(7) which will be equal to 3 * 7 - 5 = 16.
And then you find f(16) = 6*16*16+5 = 1541. That's all.
