The perimeter of a rectangle is 100 centimeters. The length is twice the width.

Through a regular hexagon whose base edge is 8cm and whose height ii 12cma hole in the shape of the right prism with ots end bei

guapka [62]

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

#SPJ4

4 0

2 years ago

The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to co

Taya2010 [7]

Answer:

Volume of Burj Khalifa Prism = 4000 $cm^2$

Volume of CN Tower Prism = 2671 $cm^2$

Step-by-step explanation:

Given

Height of Burj Khalifa = 828 m

Height of CN Tower in Toronto = 553 m

Base of rectangular prism is a square with sides 10 cm $\times$ 10 cm.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

$\Rightarrow 553 m$ is represented as $\frac{40}{828 } \times 553 = 26.71\ cm$

So, height of rectangular prism of CN Tower = 26.71 cm

Volume of a Prism is given by the Formula:

$V=Area\ of\ Base \times Height$

Base is a square, so Area of base = $Side^2$

Volume of Burj Khalifa Prism:

$V_B=10^2 \times 40 = 4000\ cm^2$

Volume of CN Tower Prism:

$V_C=10^2 \times 26.71 = 2671\ cm^2$

So, the answer is:

Volume of Burj Khalifa Prism = 4000 $cm^2$

Volume of CN Tower Prism = 2671 $cm^2$

4 0

2 years ago

Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13

andriy [413]

$\bf \begin{cases}
-2x-6y&=-26\\
\quad 5x+2y&=13
\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=
\begin{bmatrix}
-2&-6\\5&2
\end{bmatrix}}\implies (-4)-(-30)
\\\\\\
D=-4+30\implies \boxed{D=26}\\\\
-------------------------------\\\\$

$\bf x=\cfrac{D_x}{D}\implies x=\cfrac{
\begin{bmatrix}
\boxed{-26}&-6\\\\ \boxed{13}&2
\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}
\\\\\\
x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\
-------------------------------\\\\
y=\cfrac{D_y}{D}\implies y=\cfrac{
\begin{bmatrix}
-2&\boxed{-26}\\\\ 5&\boxed{13}
\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}
\\\\\\
y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}$

4 0

3 years ago

A=5 btw Please help btw I’m in 7th Grade

AlexFokin [52]

Answer:

1. a =3(2a) +5 and a= 6a+5

2. 47=3(2times 7) +5 and 47 =6 time 7 plus 5

Step-by-step explanation:

5 0

2 years ago

7th grade math help me pleaseeee

garik1379 [7]

The answer to how many batches is 9, hope this helped.

4 0

2 years ago