All categories

3 years ago

Can someone find the surface area please

Mathematics

2 answers:

Elina [12.6K]3 years ago

4 0

The surface area consists of lateral edges area, the upper base and the lower base area.

Find lateral edges area
The lateral edges consists of 3 rectangles with similar dimension, 6 cm long and 3 cm wide.

area = 3 × area of a rectangle
area = 3 × l × w
area = 3 × 6 × 3
area = 54

The area of lateral edges is 54 cm²

Find the surface area
sa = area of lateral edges + area of upper base + area of lower base
sa = 54 + 15.6 + 15.6
sa = 85.2

The surface area of the prism is 85.2 cm²

lozanna [386]3 years ago

3 0

To find the surface area of any object, the first step that you must do is find all shapes that are present in the object.

Here we have 2 triangles and 3 rectangles.

Knowing this, simply find the area of each shape.

Since the triangles are the same, one is facing up and the other down, they both would be 15.6 cm^2.

The rectangles would be 54 cm^2. as there are 3 ( 6 x 3 cm) ones.

Add the values up to have the surface area.

It’s 85.2 cm^2.

You might be interested in

Doanh thu công ty ABC năm hiện tại 6.500 triệu USD, doanh lợi tiêu thụ (ROS) 8%. Dự kiến trích 8% lợi nhuận sau thuế chia cổ tức

Sveta_85 [38]

Answer:

ill answer if u can make it english

Step-by-step explanation:

6 0

2 years ago

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

8 months ago

Help needed

RoseWind [281]

<span>f(x)= x³-x²-9x+9 has x², so it will be many to one function ( one value of y will correspond several values of x).

Answer is B.</span>

6 0

3 years ago

How to convert a repeating decimal to a fraction when only 1 digit is repeating?

Alecsey [184]

Example 0.777777

x = 0.77
10(x = 0.77) ----(10 because it is repeating by the tenth digit. if repeating by 2 digits like 0.2828, you'll multiply by 100)

10x = 7.77
-(x = 0.77)
9x = 7.00
x = 7/9

5 0

2 years ago

Standard deviation measures _____ risk while beta measures _____ risk.

Stolb23 [73]

Answer:

Standard deviation measures Total risk while beta measures Systematic risk.

Step-by-step explanation:

The total risk is the total variability of the portfolio and includes the systematic risk and the unique risk.

The systematic risk is measured by the beta coefficient and it considers the no diversified risk such as changes in the global market. Unique risks are the ones that result from factors specifically related to the company.

3 0

2 years ago